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Finding the Third Proportional to 5,394.38 and 7,248.94

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Solution

The third proportional to 5,394.38 and 7,248.94 is: 9,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.38 : 7,248.94 = 7,248.94 : x
  2. Step 2: Convert to fraction form
    5,394.38/7,248.94 = 7,248.94/x
  3. Step 3: Cross multiply
    5,394.38x = 7,248.94 × 7,248.94
  4. Step 4: Simplify right side
    5,394.38x = 52,547,094.88
  5. Step 5: Solve for x
    x = 52,547,094.88/5,394.38
  6. Step 6: Final answer
    x = 9,741.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.