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Finding the Third Proportional to 29,605 and 63,602

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Solution

The third proportional to 29,605 and 63,602 is: 136,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605 : 63,602 = 63,602 : x
  2. Step 2: Convert to fraction form
    29,605/63,602 = 63,602/x
  3. Step 3: Cross multiply
    29,605x = 63,602 × 63,602
  4. Step 4: Simplify right side
    29,605x = 4,045,214,404
  5. Step 5: Solve for x
    x = 4,045,214,404/29,605
  6. Step 6: Final answer
    x = 136,639.57

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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.