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Finding the Third Proportional to 3,640.01 and 7,875.07

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Solution

The third proportional to 3,640.01 and 7,875.07 is: 17,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.01 : 7,875.07 = 7,875.07 : x
  2. Step 2: Convert to fraction form
    3,640.01/7,875.07 = 7,875.07/x
  3. Step 3: Cross multiply
    3,640.01x = 7,875.07 × 7,875.07
  4. Step 4: Simplify right side
    3,640.01x = 62,016,732.43
  5. Step 5: Solve for x
    x = 62,016,732.43/3,640.01
  6. Step 6: Final answer
    x = 17,037.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.