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Finding the Third Proportional to 16,885.50 and 31,359

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Solution

The third proportional to 16,885.50 and 31,359 is: 58,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,885.50 : 31,359 = 31,359 : x
  2. Step 2: Convert to fraction form
    16,885.50/31,359 = 31,359/x
  3. Step 3: Cross multiply
    16,885.50x = 31,359 × 31,359
  4. Step 4: Simplify right side
    16,885.50x = 983,386,881
  5. Step 5: Solve for x
    x = 983,386,881/16,885.50
  6. Step 6: Final answer
    x = 58,238.54

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.