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Finding the Third Proportional to 29,040 and 63,684

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Solution

The third proportional to 29,040 and 63,684 is: 139,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,040 : 63,684 = 63,684 : x
  2. Step 2: Convert to fraction form
    29,040/63,684 = 63,684/x
  3. Step 3: Cross multiply
    29,040x = 63,684 × 63,684
  4. Step 4: Simplify right side
    29,040x = 4,055,651,856
  5. Step 5: Solve for x
    x = 4,055,651,856/29,040
  6. Step 6: Final answer
    x = 139,657.43

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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.