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Finding the Third Proportional to 10,713 and 23,248.50

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Solution

The third proportional to 10,713 and 23,248.50 is: 50,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713 : 23,248.50 = 23,248.50 : x
  2. Step 2: Convert to fraction form
    10,713/23,248.50 = 23,248.50/x
  3. Step 3: Cross multiply
    10,713x = 23,248.50 × 23,248.50
  4. Step 4: Simplify right side
    10,713x = 540,492,752.25
  5. Step 5: Solve for x
    x = 540,492,752.25/10,713
  6. Step 6: Final answer
    x = 50,452.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.