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Finding the Third Proportional to 16,479 and 24,637.50

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Solution

The third proportional to 16,479 and 24,637.50 is: 36,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,479 : 24,637.50 = 24,637.50 : x
  2. Step 2: Convert to fraction form
    16,479/24,637.50 = 24,637.50/x
  3. Step 3: Cross multiply
    16,479x = 24,637.50 × 24,637.50
  4. Step 4: Simplify right side
    16,479x = 607,006,406.25
  5. Step 5: Solve for x
    x = 607,006,406.25/16,479
  6. Step 6: Final answer
    x = 36,835.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.