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Finding the Third Proportional to 662.63 and 1,572.38

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Solution

The third proportional to 662.63 and 1,572.38 is: 3,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 1,572.38 = 1,572.38 : x
  2. Step 2: Convert to fraction form
    662.63/1,572.38 = 1,572.38/x
  3. Step 3: Cross multiply
    662.63x = 1,572.38 × 1,572.38
  4. Step 4: Simplify right side
    662.63x = 2,472,363.14
  5. Step 5: Solve for x
    x = 2,472,363.14/662.63
  6. Step 6: Final answer
    x = 3,731.16

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.