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Finding the Third Proportional to 5,901 and 7,948.50

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Solution

The third proportional to 5,901 and 7,948.50 is: 10,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901 : 7,948.50 = 7,948.50 : x
  2. Step 2: Convert to fraction form
    5,901/7,948.50 = 7,948.50/x
  3. Step 3: Cross multiply
    5,901x = 7,948.50 × 7,948.50
  4. Step 4: Simplify right side
    5,901x = 63,178,652.25
  5. Step 5: Solve for x
    x = 63,178,652.25/5,901
  6. Step 6: Final answer
    x = 10,706.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.