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Finding the Third Proportional to 23,157.14 and 36,877.15

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Solution

The third proportional to 23,157.14 and 36,877.15 is: 58,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.14 : 36,877.15 = 36,877.15 : x
  2. Step 2: Convert to fraction form
    23,157.14/36,877.15 = 36,877.15/x
  3. Step 3: Cross multiply
    23,157.14x = 36,877.15 × 36,877.15
  4. Step 4: Simplify right side
    23,157.14x = 1,359,924,076.88
  5. Step 5: Solve for x
    x = 1,359,924,076.88/23,157.14
  6. Step 6: Final answer
    x = 58,725.91

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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.