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Finding the Third Proportional to 4,114.55 and 6,345.21

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Solution

The third proportional to 4,114.55 and 6,345.21 is: 9,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 6,345.21 = 6,345.21 : x
  2. Step 2: Convert to fraction form
    4,114.55/6,345.21 = 6,345.21/x
  3. Step 3: Cross multiply
    4,114.55x = 6,345.21 × 6,345.21
  4. Step 4: Simplify right side
    4,114.55x = 40,261,701.84
  5. Step 5: Solve for x
    x = 40,261,701.84/4,114.55
  6. Step 6: Final answer
    x = 9,785.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.