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Finding the Third Proportional to 16,042 and 39,011.50

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Solution

The third proportional to 16,042 and 39,011.50 is: 94,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042 : 39,011.50 = 39,011.50 : x
  2. Step 2: Convert to fraction form
    16,042/39,011.50 = 39,011.50/x
  3. Step 3: Cross multiply
    16,042x = 39,011.50 × 39,011.50
  4. Step 4: Simplify right side
    16,042x = 1,521,897,132.25
  5. Step 5: Solve for x
    x = 1,521,897,132.25/16,042
  6. Step 6: Final answer
    x = 94,869.54

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.