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Finding the Third Proportional to 24,320 and 37,559

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Solution

The third proportional to 24,320 and 37,559 is: 58,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,320 : 37,559 = 37,559 : x
  2. Step 2: Convert to fraction form
    24,320/37,559 = 37,559/x
  3. Step 3: Cross multiply
    24,320x = 37,559 × 37,559
  4. Step 4: Simplify right side
    24,320x = 1,410,678,481
  5. Step 5: Solve for x
    x = 1,410,678,481/24,320
  6. Step 6: Final answer
    x = 58,004.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.