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Finding the Third Proportional to 15,012.84 and 24,182.30

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Solution

The third proportional to 15,012.84 and 24,182.30 is: 38,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012.84 : 24,182.30 = 24,182.30 : x
  2. Step 2: Convert to fraction form
    15,012.84/24,182.30 = 24,182.30/x
  3. Step 3: Cross multiply
    15,012.84x = 24,182.30 × 24,182.30
  4. Step 4: Simplify right side
    15,012.84x = 584,783,482.15
  5. Step 5: Solve for x
    x = 584,783,482.15/15,012.84
  6. Step 6: Final answer
    x = 38,952.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.