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Finding the Third Proportional to 3,038.38 and 6,595.45

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Solution

The third proportional to 3,038.38 and 6,595.45 is: 14,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.38 : 6,595.45 = 6,595.45 : x
  2. Step 2: Convert to fraction form
    3,038.38/6,595.45 = 6,595.45/x
  3. Step 3: Cross multiply
    3,038.38x = 6,595.45 × 6,595.45
  4. Step 4: Simplify right side
    3,038.38x = 43,500,001.92
  5. Step 5: Solve for x
    x = 43,500,001.92/3,038.38
  6. Step 6: Final answer
    x = 14,316.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.