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Finding the Third Proportional to 32,113.13 and 51,143.06

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Solution

The third proportional to 32,113.13 and 51,143.06 is: 81,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,113.13 : 51,143.06 = 51,143.06 : x
  2. Step 2: Convert to fraction form
    32,113.13/51,143.06 = 51,143.06/x
  3. Step 3: Cross multiply
    32,113.13x = 51,143.06 × 51,143.06
  4. Step 4: Simplify right side
    32,113.13x = 2,615,612,841.88
  5. Step 5: Solve for x
    x = 2,615,612,841.88/32,113.13
  6. Step 6: Final answer
    x = 81,449.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.