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Finding the Third Proportional to 47,576.25 and 74,088

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Solution

The third proportional to 47,576.25 and 74,088 is: 115,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,576.25 : 74,088 = 74,088 : x
  2. Step 2: Convert to fraction form
    47,576.25/74,088 = 74,088/x
  3. Step 3: Cross multiply
    47,576.25x = 74,088 × 74,088
  4. Step 4: Simplify right side
    47,576.25x = 5,489,031,744
  5. Step 5: Solve for x
    x = 5,489,031,744/47,576.25
  6. Step 6: Final answer
    x = 115,373.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.