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Finding the Third Proportional to 4,038.93 and 6,062.66

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Solution

The third proportional to 4,038.93 and 6,062.66 is: 9,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.93 : 6,062.66 = 6,062.66 : x
  2. Step 2: Convert to fraction form
    4,038.93/6,062.66 = 6,062.66/x
  3. Step 3: Cross multiply
    4,038.93x = 6,062.66 × 6,062.66
  4. Step 4: Simplify right side
    4,038.93x = 36,755,848.17
  5. Step 5: Solve for x
    x = 36,755,848.17/4,038.93
  6. Step 6: Final answer
    x = 9,100.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.