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Finding the Third Proportional to 15,331.78 and 24,455.67

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Solution

The third proportional to 15,331.78 and 24,455.67 is: 39,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331.78 : 24,455.67 = 24,455.67 : x
  2. Step 2: Convert to fraction form
    15,331.78/24,455.67 = 24,455.67/x
  3. Step 3: Cross multiply
    15,331.78x = 24,455.67 × 24,455.67
  4. Step 4: Simplify right side
    15,331.78x = 598,079,886.86
  5. Step 5: Solve for x
    x = 598,079,886.86/15,331.78
  6. Step 6: Final answer
    x = 39,009.16

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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.