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Finding the Third Proportional to 24,830 and 38,352

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Solution

The third proportional to 24,830 and 38,352 is: 59,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830 : 38,352 = 38,352 : x
  2. Step 2: Convert to fraction form
    24,830/38,352 = 38,352/x
  3. Step 3: Cross multiply
    24,830x = 38,352 × 38,352
  4. Step 4: Simplify right side
    24,830x = 1,470,875,904
  5. Step 5: Solve for x
    x = 1,470,875,904/24,830
  6. Step 6: Final answer
    x = 59,237.85

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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.