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Finding the Third Proportional to 24,582 and 36,898

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Solution

The third proportional to 24,582 and 36,898 is: 55,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582 : 36,898 = 36,898 : x
  2. Step 2: Convert to fraction form
    24,582/36,898 = 36,898/x
  3. Step 3: Cross multiply
    24,582x = 36,898 × 36,898
  4. Step 4: Simplify right side
    24,582x = 1,361,462,404
  5. Step 5: Solve for x
    x = 1,361,462,404/24,582
  6. Step 6: Final answer
    x = 55,384.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.