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Finding the Third Proportional to 16,347 and 24,570.50

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Solution

The third proportional to 16,347 and 24,570.50 is: 36,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347 : 24,570.50 = 24,570.50 : x
  2. Step 2: Convert to fraction form
    16,347/24,570.50 = 24,570.50/x
  3. Step 3: Cross multiply
    16,347x = 24,570.50 × 24,570.50
  4. Step 4: Simplify right side
    16,347x = 603,709,470.25
  5. Step 5: Solve for x
    x = 603,709,470.25/16,347
  6. Step 6: Final answer
    x = 36,930.90

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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.