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Finding the Third Proportional to 5,875.03 and 8,496.14

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Solution

The third proportional to 5,875.03 and 8,496.14 is: 12,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.03 : 8,496.14 = 8,496.14 : x
  2. Step 2: Convert to fraction form
    5,875.03/8,496.14 = 8,496.14/x
  3. Step 3: Cross multiply
    5,875.03x = 8,496.14 × 8,496.14
  4. Step 4: Simplify right side
    5,875.03x = 72,184,405.52
  5. Step 5: Solve for x
    x = 72,184,405.52/5,875.03
  6. Step 6: Final answer
    x = 12,286.64

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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.