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Finding the Third Proportional to 34,875 and 50,691.75

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Solution

The third proportional to 34,875 and 50,691.75 is: 73,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,875 : 50,691.75 = 50,691.75 : x
  2. Step 2: Convert to fraction form
    34,875/50,691.75 = 50,691.75/x
  3. Step 3: Cross multiply
    34,875x = 50,691.75 × 50,691.75
  4. Step 4: Simplify right side
    34,875x = 2,569,653,518.06
  5. Step 5: Solve for x
    x = 2,569,653,518.06/34,875
  6. Step 6: Final answer
    x = 73,681.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.