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Finding the Third Proportional to 30,724.31 and 67,386.94

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Solution

The third proportional to 30,724.31 and 67,386.94 is: 147,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.31 : 67,386.94 = 67,386.94 : x
  2. Step 2: Convert to fraction form
    30,724.31/67,386.94 = 67,386.94/x
  3. Step 3: Cross multiply
    30,724.31x = 67,386.94 × 67,386.94
  4. Step 4: Simplify right side
    30,724.31x = 4,540,999,345.63
  5. Step 5: Solve for x
    x = 4,540,999,345.63/30,724.31
  6. Step 6: Final answer
    x = 147,798.24

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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.