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Finding the Third Proportional to 24,020 and 37,488

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Solution

The third proportional to 24,020 and 37,488 is: 58,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020 : 37,488 = 37,488 : x
  2. Step 2: Convert to fraction form
    24,020/37,488 = 37,488/x
  3. Step 3: Cross multiply
    24,020x = 37,488 × 37,488
  4. Step 4: Simplify right side
    24,020x = 1,405,350,144
  5. Step 5: Solve for x
    x = 1,405,350,144/24,020
  6. Step 6: Final answer
    x = 58,507.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.