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Finding the Third Proportional to 6,307.88 and 9,117.56

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Solution

The third proportional to 6,307.88 and 9,117.56 is: 13,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.88 : 9,117.56 = 9,117.56 : x
  2. Step 2: Convert to fraction form
    6,307.88/9,117.56 = 9,117.56/x
  3. Step 3: Cross multiply
    6,307.88x = 9,117.56 × 9,117.56
  4. Step 4: Simplify right side
    6,307.88x = 83,129,945.94
  5. Step 5: Solve for x
    x = 83,129,945.94/6,307.88
  6. Step 6: Final answer
    x = 13,178.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.