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Finding the Third Proportional to 1,416.66 and 2,078.16

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Solution

The third proportional to 1,416.66 and 2,078.16 is: 3,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.66 : 2,078.16 = 2,078.16 : x
  2. Step 2: Convert to fraction form
    1,416.66/2,078.16 = 2,078.16/x
  3. Step 3: Cross multiply
    1,416.66x = 2,078.16 × 2,078.16
  4. Step 4: Simplify right side
    1,416.66x = 4,318,733.40
  5. Step 5: Solve for x
    x = 4,318,733.40/1,416.66
  6. Step 6: Final answer
    x = 3,048.54

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Why These Related Problems?

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