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Finding the Third Proportional to 22,993 and 35,159

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Solution

The third proportional to 22,993 and 35,159 is: 53,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993 : 35,159 = 35,159 : x
  2. Step 2: Convert to fraction form
    22,993/35,159 = 35,159/x
  3. Step 3: Cross multiply
    22,993x = 35,159 × 35,159
  4. Step 4: Simplify right side
    22,993x = 1,236,155,281
  5. Step 5: Solve for x
    x = 1,236,155,281/22,993
  6. Step 6: Final answer
    x = 53,762.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.