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Finding the Third Proportional to 24,157 and 38,431.50

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Solution

The third proportional to 24,157 and 38,431.50 is: 61,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157 : 38,431.50 = 38,431.50 : x
  2. Step 2: Convert to fraction form
    24,157/38,431.50 = 38,431.50/x
  3. Step 3: Cross multiply
    24,157x = 38,431.50 × 38,431.50
  4. Step 4: Simplify right side
    24,157x = 1,476,980,192.25
  5. Step 5: Solve for x
    x = 1,476,980,192.25/24,157
  6. Step 6: Final answer
    x = 61,140.88

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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.