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Finding the Third Proportional to 15,772 and 34,340

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Solution

The third proportional to 15,772 and 34,340 is: 74,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772 : 34,340 = 34,340 : x
  2. Step 2: Convert to fraction form
    15,772/34,340 = 34,340/x
  3. Step 3: Cross multiply
    15,772x = 34,340 × 34,340
  4. Step 4: Simplify right side
    15,772x = 1,179,235,600
  5. Step 5: Solve for x
    x = 1,179,235,600/15,772
  6. Step 6: Final answer
    x = 74,767.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.