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Finding the Third Proportional to 26,993 and 63,046

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Solution

The third proportional to 26,993 and 63,046 is: 147,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,993 : 63,046 = 63,046 : x
  2. Step 2: Convert to fraction form
    26,993/63,046 = 63,046/x
  3. Step 3: Cross multiply
    26,993x = 63,046 × 63,046
  4. Step 4: Simplify right side
    26,993x = 3,974,798,116
  5. Step 5: Solve for x
    x = 3,974,798,116/26,993
  6. Step 6: Final answer
    x = 147,252.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.