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Finding the Third Proportional to 2,283.75 and 3,567.94

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Solution

The third proportional to 2,283.75 and 3,567.94 is: 5,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.75 : 3,567.94 = 3,567.94 : x
  2. Step 2: Convert to fraction form
    2,283.75/3,567.94 = 3,567.94/x
  3. Step 3: Cross multiply
    2,283.75x = 3,567.94 × 3,567.94
  4. Step 4: Simplify right side
    2,283.75x = 12,730,178.00
  5. Step 5: Solve for x
    x = 12,730,178.00/2,283.75
  6. Step 6: Final answer
    x = 5,574.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.