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Finding the Third Proportional to 29,036 and 63,605

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Solution

The third proportional to 29,036 and 63,605 is: 139,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,036 : 63,605 = 63,605 : x
  2. Step 2: Convert to fraction form
    29,036/63,605 = 63,605/x
  3. Step 3: Cross multiply
    29,036x = 63,605 × 63,605
  4. Step 4: Simplify right side
    29,036x = 4,045,596,025
  5. Step 5: Solve for x
    x = 4,045,596,025/29,036
  6. Step 6: Final answer
    x = 139,330.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.