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Finding the Third Proportional to 10,502.16 and 21,978

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Solution

The third proportional to 10,502.16 and 21,978 is: 45,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.16 : 21,978 = 21,978 : x
  2. Step 2: Convert to fraction form
    10,502.16/21,978 = 21,978/x
  3. Step 3: Cross multiply
    10,502.16x = 21,978 × 21,978
  4. Step 4: Simplify right side
    10,502.16x = 483,032,484
  5. Step 5: Solve for x
    x = 483,032,484/10,502.16
  6. Step 6: Final answer
    x = 45,993.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.