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Finding the Third Proportional to 2,165.63 and 4,700.25

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Solution

The third proportional to 2,165.63 and 4,700.25 is: 10,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.63 : 4,700.25 = 4,700.25 : x
  2. Step 2: Convert to fraction form
    2,165.63/4,700.25 = 4,700.25/x
  3. Step 3: Cross multiply
    2,165.63x = 4,700.25 × 4,700.25
  4. Step 4: Simplify right side
    2,165.63x = 22,092,350.06
  5. Step 5: Solve for x
    x = 22,092,350.06/2,165.63
  6. Step 6: Final answer
    x = 10,201.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.