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Finding the Third Proportional to 22,545 and 29,085.75

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Solution

The third proportional to 22,545 and 29,085.75 is: 37,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545 : 29,085.75 = 29,085.75 : x
  2. Step 2: Convert to fraction form
    22,545/29,085.75 = 29,085.75/x
  3. Step 3: Cross multiply
    22,545x = 29,085.75 × 29,085.75
  4. Step 4: Simplify right side
    22,545x = 845,980,853.06
  5. Step 5: Solve for x
    x = 845,980,853.06/22,545
  6. Step 6: Final answer
    x = 37,524.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.