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Finding the Third Proportional to 15,650.72 and 32,531.63

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Solution

The third proportional to 15,650.72 and 32,531.63 is: 67,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,650.72 : 32,531.63 = 32,531.63 : x
  2. Step 2: Convert to fraction form
    15,650.72/32,531.63 = 32,531.63/x
  3. Step 3: Cross multiply
    15,650.72x = 32,531.63 × 32,531.63
  4. Step 4: Simplify right side
    15,650.72x = 1,058,306,625.14
  5. Step 5: Solve for x
    x = 1,058,306,625.14/15,650.72
  6. Step 6: Final answer
    x = 67,620.32

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.