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Finding the Third Proportional to 10,563.75 and 22,603.50

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Solution

The third proportional to 10,563.75 and 22,603.50 is: 48,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.75 : 22,603.50 = 22,603.50 : x
  2. Step 2: Convert to fraction form
    10,563.75/22,603.50 = 22,603.50/x
  3. Step 3: Cross multiply
    10,563.75x = 22,603.50 × 22,603.50
  4. Step 4: Simplify right side
    10,563.75x = 510,918,212.25
  5. Step 5: Solve for x
    x = 510,918,212.25/10,563.75
  6. Step 6: Final answer
    x = 48,365.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.