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Finding the Third Proportional to 2,464.50 and 2,712

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Solution

The third proportional to 2,464.50 and 2,712 is: 2,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.50 : 2,712 = 2,712 : x
  2. Step 2: Convert to fraction form
    2,464.50/2,712 = 2,712/x
  3. Step 3: Cross multiply
    2,464.50x = 2,712 × 2,712
  4. Step 4: Simplify right side
    2,464.50x = 7,354,944
  5. Step 5: Solve for x
    x = 7,354,944/2,464.50
  6. Step 6: Final answer
    x = 2,984.36

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.