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Finding the Third Proportional to 6,577 and 14,382

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Solution

The third proportional to 6,577 and 14,382 is: 31,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577 : 14,382 = 14,382 : x
  2. Step 2: Convert to fraction form
    6,577/14,382 = 14,382/x
  3. Step 3: Cross multiply
    6,577x = 14,382 × 14,382
  4. Step 4: Simplify right side
    6,577x = 206,841,924
  5. Step 5: Solve for x
    x = 206,841,924/6,577
  6. Step 6: Final answer
    x = 31,449.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.