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Finding the Third Proportional to 13,920 and 28,522.50

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Solution

The third proportional to 13,920 and 28,522.50 is: 58,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920 : 28,522.50 = 28,522.50 : x
  2. Step 2: Convert to fraction form
    13,920/28,522.50 = 28,522.50/x
  3. Step 3: Cross multiply
    13,920x = 28,522.50 × 28,522.50
  4. Step 4: Simplify right side
    13,920x = 813,533,006.25
  5. Step 5: Solve for x
    x = 813,533,006.25/13,920
  6. Step 6: Final answer
    x = 58,443.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.