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Finding the Third Proportional to 29,621 and 62,572

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Solution

The third proportional to 29,621 and 62,572 is: 132,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,621 : 62,572 = 62,572 : x
  2. Step 2: Convert to fraction form
    29,621/62,572 = 62,572/x
  3. Step 3: Cross multiply
    29,621x = 62,572 × 62,572
  4. Step 4: Simplify right side
    29,621x = 3,915,255,184
  5. Step 5: Solve for x
    x = 3,915,255,184/29,621
  6. Step 6: Final answer
    x = 132,178.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.