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Finding the Third Proportional to 29,008 and 61,570

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Solution

The third proportional to 29,008 and 61,570 is: 130,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,008 : 61,570 = 61,570 : x
  2. Step 2: Convert to fraction form
    29,008/61,570 = 61,570/x
  3. Step 3: Cross multiply
    29,008x = 61,570 × 61,570
  4. Step 4: Simplify right side
    29,008x = 3,790,864,900
  5. Step 5: Solve for x
    x = 3,790,864,900/29,008
  6. Step 6: Final answer
    x = 130,683.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.