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Finding the Third Proportional to 5,421.38 and 7,926.19

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Solution

The third proportional to 5,421.38 and 7,926.19 is: 11,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.38 : 7,926.19 = 7,926.19 : x
  2. Step 2: Convert to fraction form
    5,421.38/7,926.19 = 7,926.19/x
  3. Step 3: Cross multiply
    5,421.38x = 7,926.19 × 7,926.19
  4. Step 4: Simplify right side
    5,421.38x = 62,824,448.29
  5. Step 5: Solve for x
    x = 62,824,448.29/5,421.38
  6. Step 6: Final answer
    x = 11,588.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.