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Finding the Third Proportional to 24,165 and 38,461.50

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Solution

The third proportional to 24,165 and 38,461.50 is: 61,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165 : 38,461.50 = 38,461.50 : x
  2. Step 2: Convert to fraction form
    24,165/38,461.50 = 38,461.50/x
  3. Step 3: Cross multiply
    24,165x = 38,461.50 × 38,461.50
  4. Step 4: Simplify right side
    24,165x = 1,479,286,982.25
  5. Step 5: Solve for x
    x = 1,479,286,982.25/24,165
  6. Step 6: Final answer
    x = 61,216.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.