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Finding the Third Proportional to 28,352 and 41,650

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Solution

The third proportional to 28,352 and 41,650 is: 61,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,352 : 41,650 = 41,650 : x
  2. Step 2: Convert to fraction form
    28,352/41,650 = 41,650/x
  3. Step 3: Cross multiply
    28,352x = 41,650 × 41,650
  4. Step 4: Simplify right side
    28,352x = 1,734,722,500
  5. Step 5: Solve for x
    x = 1,734,722,500/28,352
  6. Step 6: Final answer
    x = 61,185.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.