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Finding the Third Proportional to 15,972 and 24,388.50

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Solution

The third proportional to 15,972 and 24,388.50 is: 37,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972 : 24,388.50 = 24,388.50 : x
  2. Step 2: Convert to fraction form
    15,972/24,388.50 = 24,388.50/x
  3. Step 3: Cross multiply
    15,972x = 24,388.50 × 24,388.50
  4. Step 4: Simplify right side
    15,972x = 594,798,932.25
  5. Step 5: Solve for x
    x = 594,798,932.25/15,972
  6. Step 6: Final answer
    x = 37,240.10

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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.