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Finding the Third Proportional to 2,877.19 and 4,589.16

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Solution

The third proportional to 2,877.19 and 4,589.16 is: 7,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.19 : 4,589.16 = 4,589.16 : x
  2. Step 2: Convert to fraction form
    2,877.19/4,589.16 = 4,589.16/x
  3. Step 3: Cross multiply
    2,877.19x = 4,589.16 × 4,589.16
  4. Step 4: Simplify right side
    2,877.19x = 21,060,355.09
  5. Step 5: Solve for x
    x = 21,060,355.09/2,877.19
  6. Step 6: Final answer
    x = 7,319.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.