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Finding the Third Proportional to 6,471 and 9,703.13

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Solution

The third proportional to 6,471 and 9,703.13 is: 14,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471 : 9,703.13 = 9,703.13 : x
  2. Step 2: Convert to fraction form
    6,471/9,703.13 = 9,703.13/x
  3. Step 3: Cross multiply
    6,471x = 9,703.13 × 9,703.13
  4. Step 4: Simplify right side
    6,471x = 94,150,634.77
  5. Step 5: Solve for x
    x = 94,150,634.77/6,471
  6. Step 6: Final answer
    x = 14,549.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.