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Finding the Third Proportional to 2,569.13 and 3,605.63

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Solution

The third proportional to 2,569.13 and 3,605.63 is: 5,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.13 : 3,605.63 = 3,605.63 : x
  2. Step 2: Convert to fraction form
    2,569.13/3,605.63 = 3,605.63/x
  3. Step 3: Cross multiply
    2,569.13x = 3,605.63 × 3,605.63
  4. Step 4: Simplify right side
    2,569.13x = 13,000,531.64
  5. Step 5: Solve for x
    x = 13,000,531.64/2,569.13
  6. Step 6: Final answer
    x = 5,060.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.