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Finding the Third Proportional to 7,084.63 and 10,410.88

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Solution

The third proportional to 7,084.63 and 10,410.88 is: 15,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.63 : 10,410.88 = 10,410.88 : x
  2. Step 2: Convert to fraction form
    7,084.63/10,410.88 = 10,410.88/x
  3. Step 3: Cross multiply
    7,084.63x = 10,410.88 × 10,410.88
  4. Step 4: Simplify right side
    7,084.63x = 108,386,318.27
  5. Step 5: Solve for x
    x = 108,386,318.27/7,084.63
  6. Step 6: Final answer
    x = 15,298.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.