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Finding the Third Proportional to 21,702 and 32,786

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Solution

The third proportional to 21,702 and 32,786 is: 49,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702 : 32,786 = 32,786 : x
  2. Step 2: Convert to fraction form
    21,702/32,786 = 32,786/x
  3. Step 3: Cross multiply
    21,702x = 32,786 × 32,786
  4. Step 4: Simplify right side
    21,702x = 1,074,921,796
  5. Step 5: Solve for x
    x = 1,074,921,796/21,702
  6. Step 6: Final answer
    x = 49,531.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.