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Finding the Third Proportional to 14,549.25 and 22,246.50

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Solution

The third proportional to 14,549.25 and 22,246.50 is: 34,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.25 : 22,246.50 = 22,246.50 : x
  2. Step 2: Convert to fraction form
    14,549.25/22,246.50 = 22,246.50/x
  3. Step 3: Cross multiply
    14,549.25x = 22,246.50 × 22,246.50
  4. Step 4: Simplify right side
    14,549.25x = 494,906,762.25
  5. Step 5: Solve for x
    x = 494,906,762.25/14,549.25
  6. Step 6: Final answer
    x = 34,015.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.