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Finding the Third Proportional to 5,565.38 and 11,485.13

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Solution

The third proportional to 5,565.38 and 11,485.13 is: 23,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.38 : 11,485.13 = 11,485.13 : x
  2. Step 2: Convert to fraction form
    5,565.38/11,485.13 = 11,485.13/x
  3. Step 3: Cross multiply
    5,565.38x = 11,485.13 × 11,485.13
  4. Step 4: Simplify right side
    5,565.38x = 131,908,096.27
  5. Step 5: Solve for x
    x = 131,908,096.27/5,565.38
  6. Step 6: Final answer
    x = 23,701.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.