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Finding the Third Proportional to 29,937 and 45,520

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Solution

The third proportional to 29,937 and 45,520 is: 69,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937 : 45,520 = 45,520 : x
  2. Step 2: Convert to fraction form
    29,937/45,520 = 45,520/x
  3. Step 3: Cross multiply
    29,937x = 45,520 × 45,520
  4. Step 4: Simplify right side
    29,937x = 2,072,070,400
  5. Step 5: Solve for x
    x = 2,072,070,400/29,937
  6. Step 6: Final answer
    x = 69,214.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.