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Finding the Third Proportional to 6,407.63 and 9,944.63

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Solution

The third proportional to 6,407.63 and 9,944.63 is: 15,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.63 : 9,944.63 = 9,944.63 : x
  2. Step 2: Convert to fraction form
    6,407.63/9,944.63 = 9,944.63/x
  3. Step 3: Cross multiply
    6,407.63x = 9,944.63 × 9,944.63
  4. Step 4: Simplify right side
    6,407.63x = 98,895,566.39
  5. Step 5: Solve for x
    x = 98,895,566.39/6,407.63
  6. Step 6: Final answer
    x = 15,434.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.