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Finding the Third Proportional to 24,202 and 38,033

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Solution

The third proportional to 24,202 and 38,033 is: 59,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202 : 38,033 = 38,033 : x
  2. Step 2: Convert to fraction form
    24,202/38,033 = 38,033/x
  3. Step 3: Cross multiply
    24,202x = 38,033 × 38,033
  4. Step 4: Simplify right side
    24,202x = 1,446,509,089
  5. Step 5: Solve for x
    x = 1,446,509,089/24,202
  6. Step 6: Final answer
    x = 59,768.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.