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Finding the Third Proportional to 8,677.13 and 19,953

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Solution

The third proportional to 8,677.13 and 19,953 is: 45,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.13 : 19,953 = 19,953 : x
  2. Step 2: Convert to fraction form
    8,677.13/19,953 = 19,953/x
  3. Step 3: Cross multiply
    8,677.13x = 19,953 × 19,953
  4. Step 4: Simplify right side
    8,677.13x = 398,122,209
  5. Step 5: Solve for x
    x = 398,122,209/8,677.13
  6. Step 6: Final answer
    x = 45,881.81

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.