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Finding the Third Proportional to 15,730.45 and 24,552.49

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Solution

The third proportional to 15,730.45 and 24,552.49 is: 38,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.45 : 24,552.49 = 24,552.49 : x
  2. Step 2: Convert to fraction form
    15,730.45/24,552.49 = 24,552.49/x
  3. Step 3: Cross multiply
    15,730.45x = 24,552.49 × 24,552.49
  4. Step 4: Simplify right side
    15,730.45x = 602,824,872.62
  5. Step 5: Solve for x
    x = 602,824,872.62/15,730.45
  6. Step 6: Final answer
    x = 38,322.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.