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Finding the Third Proportional to 14,215 and 22,255.50

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Solution

The third proportional to 14,215 and 22,255.50 is: 34,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215 : 22,255.50 = 22,255.50 : x
  2. Step 2: Convert to fraction form
    14,215/22,255.50 = 22,255.50/x
  3. Step 3: Cross multiply
    14,215x = 22,255.50 × 22,255.50
  4. Step 4: Simplify right side
    14,215x = 495,307,280.25
  5. Step 5: Solve for x
    x = 495,307,280.25/14,215
  6. Step 6: Final answer
    x = 34,843.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.