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Finding the Third Proportional to 22,515 and 34,708.50

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Solution

The third proportional to 22,515 and 34,708.50 is: 53,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515 : 34,708.50 = 34,708.50 : x
  2. Step 2: Convert to fraction form
    22,515/34,708.50 = 34,708.50/x
  3. Step 3: Cross multiply
    22,515x = 34,708.50 × 34,708.50
  4. Step 4: Simplify right side
    22,515x = 1,204,679,972.25
  5. Step 5: Solve for x
    x = 1,204,679,972.25/22,515
  6. Step 6: Final answer
    x = 53,505.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.