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Finding the Third Proportional to 34,210.13 and 74,724.75

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Solution

The third proportional to 34,210.13 and 74,724.75 is: 163,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,210.13 : 74,724.75 = 74,724.75 : x
  2. Step 2: Convert to fraction form
    34,210.13/74,724.75 = 74,724.75/x
  3. Step 3: Cross multiply
    34,210.13x = 74,724.75 × 74,724.75
  4. Step 4: Simplify right side
    34,210.13x = 5,583,788,262.56
  5. Step 5: Solve for x
    x = 5,583,788,262.56/34,210.13
  6. Step 6: Final answer
    x = 163,220.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.