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Finding the Third Proportional to 2,561.63 and 3,702.19

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Solution

The third proportional to 2,561.63 and 3,702.19 is: 5,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.63 : 3,702.19 = 3,702.19 : x
  2. Step 2: Convert to fraction form
    2,561.63/3,702.19 = 3,702.19/x
  3. Step 3: Cross multiply
    2,561.63x = 3,702.19 × 3,702.19
  4. Step 4: Simplify right side
    2,561.63x = 13,706,192.29
  5. Step 5: Solve for x
    x = 13,706,192.29/2,561.63
  6. Step 6: Final answer
    x = 5,350.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.