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Finding the Third Proportional to 4,348.13 and 7,000.59

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Solution

The third proportional to 4,348.13 and 7,000.59 is: 11,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.13 : 7,000.59 = 7,000.59 : x
  2. Step 2: Convert to fraction form
    4,348.13/7,000.59 = 7,000.59/x
  3. Step 3: Cross multiply
    4,348.13x = 7,000.59 × 7,000.59
  4. Step 4: Simplify right side
    4,348.13x = 49,008,312.85
  5. Step 5: Solve for x
    x = 49,008,312.85/4,348.13
  6. Step 6: Final answer
    x = 11,271.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.