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Finding the Third Proportional to 16,545.80 and 24,971.20

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Solution

The third proportional to 16,545.80 and 24,971.20 is: 37,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.80 : 24,971.20 = 24,971.20 : x
  2. Step 2: Convert to fraction form
    16,545.80/24,971.20 = 24,971.20/x
  3. Step 3: Cross multiply
    16,545.80x = 24,971.20 × 24,971.20
  4. Step 4: Simplify right side
    16,545.80x = 623,560,985.51
  5. Step 5: Solve for x
    x = 623,560,985.51/16,545.80
  6. Step 6: Final answer
    x = 37,686.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.