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Finding the Third Proportional to 7,124.63 and 9,708.19

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Solution

The third proportional to 7,124.63 and 9,708.19 is: 13,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.63 : 9,708.19 = 9,708.19 : x
  2. Step 2: Convert to fraction form
    7,124.63/9,708.19 = 9,708.19/x
  3. Step 3: Cross multiply
    7,124.63x = 9,708.19 × 9,708.19
  4. Step 4: Simplify right side
    7,124.63x = 94,248,904.54
  5. Step 5: Solve for x
    x = 94,248,904.54/7,124.63
  6. Step 6: Final answer
    x = 13,228.61

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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.