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Finding the Third Proportional to 29,034 and 63,604

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Solution

The third proportional to 29,034 and 63,604 is: 139,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,034 : 63,604 = 63,604 : x
  2. Step 2: Convert to fraction form
    29,034/63,604 = 63,604/x
  3. Step 3: Cross multiply
    29,034x = 63,604 × 63,604
  4. Step 4: Simplify right side
    29,034x = 4,045,468,816
  5. Step 5: Solve for x
    x = 4,045,468,816/29,034
  6. Step 6: Final answer
    x = 139,335.57

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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.