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Finding the Third Proportional to 5,295.38 and 7,059.66

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Solution

The third proportional to 5,295.38 and 7,059.66 is: 9,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.38 : 7,059.66 = 7,059.66 : x
  2. Step 2: Convert to fraction form
    5,295.38/7,059.66 = 7,059.66/x
  3. Step 3: Cross multiply
    5,295.38x = 7,059.66 × 7,059.66
  4. Step 4: Simplify right side
    5,295.38x = 49,838,746.37
  5. Step 5: Solve for x
    x = 49,838,746.37/5,295.38
  6. Step 6: Final answer
    x = 9,411.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.