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Finding the Third Proportional to 5,590.13 and 9,182.81

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Solution

The third proportional to 5,590.13 and 9,182.81 is: 15,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.13 : 9,182.81 = 9,182.81 : x
  2. Step 2: Convert to fraction form
    5,590.13/9,182.81 = 9,182.81/x
  3. Step 3: Cross multiply
    5,590.13x = 9,182.81 × 9,182.81
  4. Step 4: Simplify right side
    5,590.13x = 84,324,045.41
  5. Step 5: Solve for x
    x = 84,324,045.41/5,590.13
  6. Step 6: Final answer
    x = 15,084.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.