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Finding the Third Proportional to 12,657.09 and 29,302.17

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Solution

The third proportional to 12,657.09 and 29,302.17 is: 67,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.09 : 29,302.17 = 29,302.17 : x
  2. Step 2: Convert to fraction form
    12,657.09/29,302.17 = 29,302.17/x
  3. Step 3: Cross multiply
    12,657.09x = 29,302.17 × 29,302.17
  4. Step 4: Simplify right side
    12,657.09x = 858,617,276.59
  5. Step 5: Solve for x
    x = 858,617,276.59/12,657.09
  6. Step 6: Final answer
    x = 67,836.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.