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Finding the Third Proportional to 32,827.78 and 72,019.13

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Solution

The third proportional to 32,827.78 and 72,019.13 is: 157,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.78 : 72,019.13 = 72,019.13 : x
  2. Step 2: Convert to fraction form
    32,827.78/72,019.13 = 72,019.13/x
  3. Step 3: Cross multiply
    32,827.78x = 72,019.13 × 72,019.13
  4. Step 4: Simplify right side
    32,827.78x = 5,186,754,365.77
  5. Step 5: Solve for x
    x = 5,186,754,365.77/32,827.78
  6. Step 6: Final answer
    x = 157,998.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.