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Finding the Third Proportional to 5,730 and 12,398

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Solution

The third proportional to 5,730 and 12,398 is: 26,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730 : 12,398 = 12,398 : x
  2. Step 2: Convert to fraction form
    5,730/12,398 = 12,398/x
  3. Step 3: Cross multiply
    5,730x = 12,398 × 12,398
  4. Step 4: Simplify right side
    5,730x = 153,710,404
  5. Step 5: Solve for x
    x = 153,710,404/5,730
  6. Step 6: Final answer
    x = 26,825.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.