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Finding the Third Proportional to 5,519.39 and 7,345.05

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Solution

The third proportional to 5,519.39 and 7,345.05 is: 9,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,519.39 : 7,345.05 = 7,345.05 : x
  2. Step 2: Convert to fraction form
    5,519.39/7,345.05 = 7,345.05/x
  3. Step 3: Cross multiply
    5,519.39x = 7,345.05 × 7,345.05
  4. Step 4: Simplify right side
    5,519.39x = 53,949,828.36
  5. Step 5: Solve for x
    x = 53,949,828.36/5,519.39
  6. Step 6: Final answer
    x = 9,774.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.