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Finding the Third Proportional to 16,656.50 and 24,731

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Solution

The third proportional to 16,656.50 and 24,731 is: 36,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,656.50 : 24,731 = 24,731 : x
  2. Step 2: Convert to fraction form
    16,656.50/24,731 = 24,731/x
  3. Step 3: Cross multiply
    16,656.50x = 24,731 × 24,731
  4. Step 4: Simplify right side
    16,656.50x = 611,622,361
  5. Step 5: Solve for x
    x = 611,622,361/16,656.50
  6. Step 6: Final answer
    x = 36,719.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.