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Finding the Third Proportional to 1,902.95 and 4,151.88

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Solution

The third proportional to 1,902.95 and 4,151.88 is: 9,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.95 : 4,151.88 = 4,151.88 : x
  2. Step 2: Convert to fraction form
    1,902.95/4,151.88 = 4,151.88/x
  3. Step 3: Cross multiply
    1,902.95x = 4,151.88 × 4,151.88
  4. Step 4: Simplify right side
    1,902.95x = 17,238,130.89
  5. Step 5: Solve for x
    x = 17,238,130.89/1,902.95
  6. Step 6: Final answer
    x = 9,058.65

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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.