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Finding the Third Proportional to 12,561.75 and 29,494.13

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Solution

The third proportional to 12,561.75 and 29,494.13 is: 69,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.75 : 29,494.13 = 29,494.13 : x
  2. Step 2: Convert to fraction form
    12,561.75/29,494.13 = 29,494.13/x
  3. Step 3: Cross multiply
    12,561.75x = 29,494.13 × 29,494.13
  4. Step 4: Simplify right side
    12,561.75x = 869,903,409.52
  5. Step 5: Solve for x
    x = 869,903,409.52/12,561.75
  6. Step 6: Final answer
    x = 69,250.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.