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Finding the Third Proportional to 5,875.03 and 9,101.39

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Solution

The third proportional to 5,875.03 and 9,101.39 is: 14,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.03 : 9,101.39 = 9,101.39 : x
  2. Step 2: Convert to fraction form
    5,875.03/9,101.39 = 9,101.39/x
  3. Step 3: Cross multiply
    5,875.03x = 9,101.39 × 9,101.39
  4. Step 4: Simplify right side
    5,875.03x = 82,835,311.31
  5. Step 5: Solve for x
    x = 82,835,311.31/5,875.03
  6. Step 6: Final answer
    x = 14,099.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.