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Finding the Third Proportional to 2,127.94 and 2,864.53

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Solution

The third proportional to 2,127.94 and 2,864.53 is: 3,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.94 : 2,864.53 = 2,864.53 : x
  2. Step 2: Convert to fraction form
    2,127.94/2,864.53 = 2,864.53/x
  3. Step 3: Cross multiply
    2,127.94x = 2,864.53 × 2,864.53
  4. Step 4: Simplify right side
    2,127.94x = 8,205,539.28
  5. Step 5: Solve for x
    x = 8,205,539.28/2,127.94
  6. Step 6: Final answer
    x = 3,856.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.