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Finding the Third Proportional to 34,717.11 and 74,354.87

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Solution

The third proportional to 34,717.11 and 74,354.87 is: 159,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717.11 : 74,354.87 = 74,354.87 : x
  2. Step 2: Convert to fraction form
    34,717.11/74,354.87 = 74,354.87/x
  3. Step 3: Cross multiply
    34,717.11x = 74,354.87 × 74,354.87
  4. Step 4: Simplify right side
    34,717.11x = 5,528,646,855.37
  5. Step 5: Solve for x
    x = 5,528,646,855.37/34,717.11
  6. Step 6: Final answer
    x = 159,248.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.