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Finding the Third Proportional to 16,123.13 and 24,914.06

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Solution

The third proportional to 16,123.13 and 24,914.06 is: 38,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.13 : 24,914.06 = 24,914.06 : x
  2. Step 2: Convert to fraction form
    16,123.13/24,914.06 = 24,914.06/x
  3. Step 3: Cross multiply
    16,123.13x = 24,914.06 × 24,914.06
  4. Step 4: Simplify right side
    16,123.13x = 620,710,510.25
  5. Step 5: Solve for x
    x = 620,710,510.25/16,123.13
  6. Step 6: Final answer
    x = 38,498.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.