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Finding the Third Proportional to 1,569.75 and 2,509.13

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Solution

The third proportional to 1,569.75 and 2,509.13 is: 4,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.75 : 2,509.13 = 2,509.13 : x
  2. Step 2: Convert to fraction form
    1,569.75/2,509.13 = 2,509.13/x
  3. Step 3: Cross multiply
    1,569.75x = 2,509.13 × 2,509.13
  4. Step 4: Simplify right side
    1,569.75x = 6,295,708.27
  5. Step 5: Solve for x
    x = 6,295,708.27/1,569.75
  6. Step 6: Final answer
    x = 4,010.64

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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.