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Finding the Third Proportional to 6,348 and 9,314.25

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Solution

The third proportional to 6,348 and 9,314.25 is: 13,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348 : 9,314.25 = 9,314.25 : x
  2. Step 2: Convert to fraction form
    6,348/9,314.25 = 9,314.25/x
  3. Step 3: Cross multiply
    6,348x = 9,314.25 × 9,314.25
  4. Step 4: Simplify right side
    6,348x = 86,755,253.06
  5. Step 5: Solve for x
    x = 86,755,253.06/6,348
  6. Step 6: Final answer
    x = 13,666.55

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