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Finding the Third Proportional to 13,291 and 28,765

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Solution

The third proportional to 13,291 and 28,765 is: 62,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291 : 28,765 = 28,765 : x
  2. Step 2: Convert to fraction form
    13,291/28,765 = 28,765/x
  3. Step 3: Cross multiply
    13,291x = 28,765 × 28,765
  4. Step 4: Simplify right side
    13,291x = 827,425,225
  5. Step 5: Solve for x
    x = 827,425,225/13,291
  6. Step 6: Final answer
    x = 62,254.55

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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.