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Finding the Third Proportional to 22,173.75 and 32,613.75

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Solution

The third proportional to 22,173.75 and 32,613.75 is: 47,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,173.75 : 32,613.75 = 32,613.75 : x
  2. Step 2: Convert to fraction form
    22,173.75/32,613.75 = 32,613.75/x
  3. Step 3: Cross multiply
    22,173.75x = 32,613.75 × 32,613.75
  4. Step 4: Simplify right side
    22,173.75x = 1,063,656,689.06
  5. Step 5: Solve for x
    x = 1,063,656,689.06/22,173.75
  6. Step 6: Final answer
    x = 47,969.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.