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Finding the Third Proportional to 30,954.25 and 67,842.13

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Solution

The third proportional to 30,954.25 and 67,842.13 is: 148,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.25 : 67,842.13 = 67,842.13 : x
  2. Step 2: Convert to fraction form
    30,954.25/67,842.13 = 67,842.13/x
  3. Step 3: Cross multiply
    30,954.25x = 67,842.13 × 67,842.13
  4. Step 4: Simplify right side
    30,954.25x = 4,602,553,924.52
  5. Step 5: Solve for x
    x = 4,602,553,924.52/30,954.25
  6. Step 6: Final answer
    x = 148,688.92

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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.