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Finding the Third Proportional to 29,597 and 63,586

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Solution

The third proportional to 29,597 and 63,586 is: 136,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,597 : 63,586 = 63,586 : x
  2. Step 2: Convert to fraction form
    29,597/63,586 = 63,586/x
  3. Step 3: Cross multiply
    29,597x = 63,586 × 63,586
  4. Step 4: Simplify right side
    29,597x = 4,043,179,396
  5. Step 5: Solve for x
    x = 4,043,179,396/29,597
  6. Step 6: Final answer
    x = 136,607.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.