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Finding the Third Proportional to 32,000.06 and 48,443.06

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Solution

The third proportional to 32,000.06 and 48,443.06 is: 73,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.06 : 48,443.06 = 48,443.06 : x
  2. Step 2: Convert to fraction form
    32,000.06/48,443.06 = 48,443.06/x
  3. Step 3: Cross multiply
    32,000.06x = 48,443.06 × 48,443.06
  4. Step 4: Simplify right side
    32,000.06x = 2,346,730,304.38
  5. Step 5: Solve for x
    x = 2,346,730,304.38/32,000.06
  6. Step 6: Final answer
    x = 73,335.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.