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Finding the Third Proportional to 7,840.13 and 16,792.31

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Solution

The third proportional to 7,840.13 and 16,792.31 is: 35,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.13 : 16,792.31 = 16,792.31 : x
  2. Step 2: Convert to fraction form
    7,840.13/16,792.31 = 16,792.31/x
  3. Step 3: Cross multiply
    7,840.13x = 16,792.31 × 16,792.31
  4. Step 4: Simplify right side
    7,840.13x = 281,981,759.10
  5. Step 5: Solve for x
    x = 281,981,759.10/7,840.13
  6. Step 6: Final answer
    x = 35,966.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.