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Finding the Third Proportional to 10,438.88 and 15,969.66

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Solution

The third proportional to 10,438.88 and 15,969.66 is: 24,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.88 : 15,969.66 = 15,969.66 : x
  2. Step 2: Convert to fraction form
    10,438.88/15,969.66 = 15,969.66/x
  3. Step 3: Cross multiply
    10,438.88x = 15,969.66 × 15,969.66
  4. Step 4: Simplify right side
    10,438.88x = 255,029,920.74
  5. Step 5: Solve for x
    x = 255,029,920.74/10,438.88
  6. Step 6: Final answer
    x = 24,430.79

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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.