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Finding the Third Proportional to 5,862 and 7,894.50

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Solution

The third proportional to 5,862 and 7,894.50 is: 10,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862 : 7,894.50 = 7,894.50 : x
  2. Step 2: Convert to fraction form
    5,862/7,894.50 = 7,894.50/x
  3. Step 3: Cross multiply
    5,862x = 7,894.50 × 7,894.50
  4. Step 4: Simplify right side
    5,862x = 62,323,130.25
  5. Step 5: Solve for x
    x = 62,323,130.25/5,862
  6. Step 6: Final answer
    x = 10,631.72

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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.