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Finding the Third Proportional to 23,748 and 34,290

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Solution

The third proportional to 23,748 and 34,290 is: 49,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748 : 34,290 = 34,290 : x
  2. Step 2: Convert to fraction form
    23,748/34,290 = 34,290/x
  3. Step 3: Cross multiply
    23,748x = 34,290 × 34,290
  4. Step 4: Simplify right side
    23,748x = 1,175,804,100
  5. Step 5: Solve for x
    x = 1,175,804,100/23,748
  6. Step 6: Final answer
    x = 49,511.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.