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Finding the Third Proportional to 1,703.95 and 4,159.90

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Solution

The third proportional to 1,703.95 and 4,159.90 is: 10,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.95 : 4,159.90 = 4,159.90 : x
  2. Step 2: Convert to fraction form
    1,703.95/4,159.90 = 4,159.90/x
  3. Step 3: Cross multiply
    1,703.95x = 4,159.90 × 4,159.90
  4. Step 4: Simplify right side
    1,703.95x = 17,304,755.01
  5. Step 5: Solve for x
    x = 17,304,755.01/1,703.95
  6. Step 6: Final answer
    x = 10,155.65

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.