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Finding the Third Proportional to 21,786 and 32,592.25

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Solution

The third proportional to 21,786 and 32,592.25 is: 48,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786 : 32,592.25 = 32,592.25 : x
  2. Step 2: Convert to fraction form
    21,786/32,592.25 = 32,592.25/x
  3. Step 3: Cross multiply
    21,786x = 32,592.25 × 32,592.25
  4. Step 4: Simplify right side
    21,786x = 1,062,254,760.06
  5. Step 5: Solve for x
    x = 1,062,254,760.06/21,786
  6. Step 6: Final answer
    x = 48,758.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.