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Finding the Third Proportional to 2,914.13 and 6,345.75

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Solution

The third proportional to 2,914.13 and 6,345.75 is: 13,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.13 : 6,345.75 = 6,345.75 : x
  2. Step 2: Convert to fraction form
    2,914.13/6,345.75 = 6,345.75/x
  3. Step 3: Cross multiply
    2,914.13x = 6,345.75 × 6,345.75
  4. Step 4: Simplify right side
    2,914.13x = 40,268,543.06
  5. Step 5: Solve for x
    x = 40,268,543.06/2,914.13
  6. Step 6: Final answer
    x = 13,818.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.