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Finding the Third Proportional to 5,419.13 and 9,582.75

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Solution

The third proportional to 5,419.13 and 9,582.75 is: 16,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.13 : 9,582.75 = 9,582.75 : x
  2. Step 2: Convert to fraction form
    5,419.13/9,582.75 = 9,582.75/x
  3. Step 3: Cross multiply
    5,419.13x = 9,582.75 × 9,582.75
  4. Step 4: Simplify right side
    5,419.13x = 91,829,097.56
  5. Step 5: Solve for x
    x = 91,829,097.56/5,419.13
  6. Step 6: Final answer
    x = 16,945.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.