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Finding the Third Proportional to 21,277.69 and 32,184.21

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Solution

The third proportional to 21,277.69 and 32,184.21 is: 48,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,277.69 : 32,184.21 = 32,184.21 : x
  2. Step 2: Convert to fraction form
    21,277.69/32,184.21 = 32,184.21/x
  3. Step 3: Cross multiply
    21,277.69x = 32,184.21 × 32,184.21
  4. Step 4: Simplify right side
    21,277.69x = 1,035,823,433.67
  5. Step 5: Solve for x
    x = 1,035,823,433.67/21,277.69
  6. Step 6: Final answer
    x = 48,681.20

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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.