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Finding the Third Proportional to 4,465.13 and 7,063.14

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Solution

The third proportional to 4,465.13 and 7,063.14 is: 11,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.13 : 7,063.14 = 7,063.14 : x
  2. Step 2: Convert to fraction form
    4,465.13/7,063.14 = 7,063.14/x
  3. Step 3: Cross multiply
    4,465.13x = 7,063.14 × 7,063.14
  4. Step 4: Simplify right side
    4,465.13x = 49,887,900.31
  5. Step 5: Solve for x
    x = 49,887,900.31/4,465.13
  6. Step 6: Final answer
    x = 11,172.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.