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Finding the Third Proportional to 1,569.45 and 2,302.92

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Solution

The third proportional to 1,569.45 and 2,302.92 is: 3,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.45 : 2,302.92 = 2,302.92 : x
  2. Step 2: Convert to fraction form
    1,569.45/2,302.92 = 2,302.92/x
  3. Step 3: Cross multiply
    1,569.45x = 2,302.92 × 2,302.92
  4. Step 4: Simplify right side
    1,569.45x = 5,303,449.16
  5. Step 5: Solve for x
    x = 5,303,449.16/1,569.45
  6. Step 6: Final answer
    x = 3,379.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.