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Finding the Third Proportional to 13,848 and 22,012.50

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Solution

The third proportional to 13,848 and 22,012.50 is: 34,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848 : 22,012.50 = 22,012.50 : x
  2. Step 2: Convert to fraction form
    13,848/22,012.50 = 22,012.50/x
  3. Step 3: Cross multiply
    13,848x = 22,012.50 × 22,012.50
  4. Step 4: Simplify right side
    13,848x = 484,550,156.25
  5. Step 5: Solve for x
    x = 484,550,156.25/13,848
  6. Step 6: Final answer
    x = 34,990.62

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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.