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Finding the Third Proportional to 640.75 and 1,547.50

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Solution

The third proportional to 640.75 and 1,547.50 is: 3,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.75 : 1,547.50 = 1,547.50 : x
  2. Step 2: Convert to fraction form
    640.75/1,547.50 = 1,547.50/x
  3. Step 3: Cross multiply
    640.75x = 1,547.50 × 1,547.50
  4. Step 4: Simplify right side
    640.75x = 2,394,756.25
  5. Step 5: Solve for x
    x = 2,394,756.25/640.75
  6. Step 6: Final answer
    x = 3,737.43

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.