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Finding the Third Proportional to 22,303.75 and 32,617.75

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Solution

The third proportional to 22,303.75 and 32,617.75 is: 47,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.75 : 32,617.75 = 32,617.75 : x
  2. Step 2: Convert to fraction form
    22,303.75/32,617.75 = 32,617.75/x
  3. Step 3: Cross multiply
    22,303.75x = 32,617.75 × 32,617.75
  4. Step 4: Simplify right side
    22,303.75x = 1,063,917,615.06
  5. Step 5: Solve for x
    x = 1,063,917,615.06/22,303.75
  6. Step 6: Final answer
    x = 47,701.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.