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Finding the Third Proportional to 15,228 and 24,317.72

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Solution

The third proportional to 15,228 and 24,317.72 is: 38,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228 : 24,317.72 = 24,317.72 : x
  2. Step 2: Convert to fraction form
    15,228/24,317.72 = 24,317.72/x
  3. Step 3: Cross multiply
    15,228x = 24,317.72 × 24,317.72
  4. Step 4: Simplify right side
    15,228x = 591,351,445.20
  5. Step 5: Solve for x
    x = 591,351,445.20/15,228
  6. Step 6: Final answer
    x = 38,833.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.