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Finding the Third Proportional to 10,563.75 and 24,850.13

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Solution

The third proportional to 10,563.75 and 24,850.13 is: 58,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.75 : 24,850.13 = 24,850.13 : x
  2. Step 2: Convert to fraction form
    10,563.75/24,850.13 = 24,850.13/x
  3. Step 3: Cross multiply
    10,563.75x = 24,850.13 × 24,850.13
  4. Step 4: Simplify right side
    10,563.75x = 617,528,712.52
  5. Step 5: Solve for x
    x = 617,528,712.52/10,563.75
  6. Step 6: Final answer
    x = 58,457.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.