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Finding the Third Proportional to 10,645.88 and 16,117.88

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Solution

The third proportional to 10,645.88 and 16,117.88 is: 24,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.88 : 16,117.88 = 16,117.88 : x
  2. Step 2: Convert to fraction form
    10,645.88/16,117.88 = 16,117.88/x
  3. Step 3: Cross multiply
    10,645.88x = 16,117.88 × 16,117.88
  4. Step 4: Simplify right side
    10,645.88x = 259,785,894.52
  5. Step 5: Solve for x
    x = 259,785,894.52/10,645.88
  6. Step 6: Final answer
    x = 24,402.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.