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Finding the Third Proportional to 5,329.55 and 7,445.67

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Solution

The third proportional to 5,329.55 and 7,445.67 is: 10,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.55 : 7,445.67 = 7,445.67 : x
  2. Step 2: Convert to fraction form
    5,329.55/7,445.67 = 7,445.67/x
  3. Step 3: Cross multiply
    5,329.55x = 7,445.67 × 7,445.67
  4. Step 4: Simplify right side
    5,329.55x = 55,438,029.67
  5. Step 5: Solve for x
    x = 55,438,029.67/5,329.55
  6. Step 6: Final answer
    x = 10,402.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.