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Finding the Third Proportional to 32,970.38 and 72,147.38

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Solution

The third proportional to 32,970.38 and 72,147.38 is: 157,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.38 : 72,147.38 = 72,147.38 : x
  2. Step 2: Convert to fraction form
    32,970.38/72,147.38 = 72,147.38/x
  3. Step 3: Cross multiply
    32,970.38x = 72,147.38 × 72,147.38
  4. Step 4: Simplify right side
    32,970.38x = 5,205,243,719.39
  5. Step 5: Solve for x
    x = 5,205,243,719.39/32,970.38
  6. Step 6: Final answer
    x = 157,876.39

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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.