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Finding the Third Proportional to 1,630.76 and 4,410.07

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Solution

The third proportional to 1,630.76 and 4,410.07 is: 11,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.76 : 4,410.07 = 4,410.07 : x
  2. Step 2: Convert to fraction form
    1,630.76/4,410.07 = 4,410.07/x
  3. Step 3: Cross multiply
    1,630.76x = 4,410.07 × 4,410.07
  4. Step 4: Simplify right side
    1,630.76x = 19,448,720.16
  5. Step 5: Solve for x
    x = 19,448,720.16/1,630.76
  6. Step 6: Final answer
    x = 11,926.19

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.