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Finding the Third Proportional to 6,617.95 and 9,716.20

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Solution

The third proportional to 6,617.95 and 9,716.20 is: 14,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.95 : 9,716.20 = 9,716.20 : x
  2. Step 2: Convert to fraction form
    6,617.95/9,716.20 = 9,716.20/x
  3. Step 3: Cross multiply
    6,617.95x = 9,716.20 × 9,716.20
  4. Step 4: Simplify right side
    6,617.95x = 94,404,603.17
  5. Step 5: Solve for x
    x = 94,404,603.17/6,617.95
  6. Step 6: Final answer
    x = 14,264.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.