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Finding the Third Proportional to 15,739 and 24,155.50

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Solution

The third proportional to 15,739 and 24,155.50 is: 37,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,739 : 24,155.50 = 24,155.50 : x
  2. Step 2: Convert to fraction form
    15,739/24,155.50 = 24,155.50/x
  3. Step 3: Cross multiply
    15,739x = 24,155.50 × 24,155.50
  4. Step 4: Simplify right side
    15,739x = 583,488,180.25
  5. Step 5: Solve for x
    x = 583,488,180.25/15,739
  6. Step 6: Final answer
    x = 37,072.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.