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Finding the Third Proportional to 34,098.75 and 74,392.88

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Solution

The third proportional to 34,098.75 and 74,392.88 is: 162,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.75 : 74,392.88 = 74,392.88 : x
  2. Step 2: Convert to fraction form
    34,098.75/74,392.88 = 74,392.88/x
  3. Step 3: Cross multiply
    34,098.75x = 74,392.88 × 74,392.88
  4. Step 4: Simplify right side
    34,098.75x = 5,534,299,850.77
  5. Step 5: Solve for x
    x = 5,534,299,850.77/34,098.75
  6. Step 6: Final answer
    x = 162,302.13

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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.