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Finding the Third Proportional to 7,710.19 and 10,447.73

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Solution

The third proportional to 7,710.19 and 10,447.73 is: 14,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.19 : 10,447.73 = 10,447.73 : x
  2. Step 2: Convert to fraction form
    7,710.19/10,447.73 = 10,447.73/x
  3. Step 3: Cross multiply
    7,710.19x = 10,447.73 × 10,447.73
  4. Step 4: Simplify right side
    7,710.19x = 109,155,153.57
  5. Step 5: Solve for x
    x = 109,155,153.57/7,710.19
  6. Step 6: Final answer
    x = 14,157.26

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.