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Finding the Third Proportional to 34,240.22 and 74,711.11

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Solution

The third proportional to 34,240.22 and 74,711.11 is: 163,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,240.22 : 74,711.11 = 74,711.11 : x
  2. Step 2: Convert to fraction form
    34,240.22/74,711.11 = 74,711.11/x
  3. Step 3: Cross multiply
    34,240.22x = 74,711.11 × 74,711.11
  4. Step 4: Simplify right side
    34,240.22x = 5,581,749,864.04
  5. Step 5: Solve for x
    x = 5,581,749,864.04/34,240.22
  6. Step 6: Final answer
    x = 163,017.35

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Why These Related Problems?

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