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Finding the Third Proportional to 34,921.13 and 75,378.94

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Solution

The third proportional to 34,921.13 and 75,378.94 is: 162,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,921.13 : 75,378.94 = 75,378.94 : x
  2. Step 2: Convert to fraction form
    34,921.13/75,378.94 = 75,378.94/x
  3. Step 3: Cross multiply
    34,921.13x = 75,378.94 × 75,378.94
  4. Step 4: Simplify right side
    34,921.13x = 5,681,984,218.63
  5. Step 5: Solve for x
    x = 5,681,984,218.63/34,921.13
  6. Step 6: Final answer
    x = 162,709.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.