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Finding the Third Proportional to 16,046.50 and 38,657

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Solution

The third proportional to 16,046.50 and 38,657 is: 93,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.50 : 38,657 = 38,657 : x
  2. Step 2: Convert to fraction form
    16,046.50/38,657 = 38,657/x
  3. Step 3: Cross multiply
    16,046.50x = 38,657 × 38,657
  4. Step 4: Simplify right side
    16,046.50x = 1,494,363,649
  5. Step 5: Solve for x
    x = 1,494,363,649/16,046.50
  6. Step 6: Final answer
    x = 93,127.08

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.