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Finding the Third Proportional to 10,302 and 22,246.50

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Solution

The third proportional to 10,302 and 22,246.50 is: 48,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302 : 22,246.50 = 22,246.50 : x
  2. Step 2: Convert to fraction form
    10,302/22,246.50 = 22,246.50/x
  3. Step 3: Cross multiply
    10,302x = 22,246.50 × 22,246.50
  4. Step 4: Simplify right side
    10,302x = 494,906,762.25
  5. Step 5: Solve for x
    x = 494,906,762.25/10,302
  6. Step 6: Final answer
    x = 48,039.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.