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Finding the Third Proportional to 14,517 and 23,068.50

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Solution

The third proportional to 14,517 and 23,068.50 is: 36,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517 : 23,068.50 = 23,068.50 : x
  2. Step 2: Convert to fraction form
    14,517/23,068.50 = 23,068.50/x
  3. Step 3: Cross multiply
    14,517x = 23,068.50 × 23,068.50
  4. Step 4: Simplify right side
    14,517x = 532,155,692.25
  5. Step 5: Solve for x
    x = 532,155,692.25/14,517
  6. Step 6: Final answer
    x = 36,657.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.