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Finding the Third Proportional to 10,970.25 and 24,021.75

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Solution

The third proportional to 10,970.25 and 24,021.75 is: 52,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.25 : 24,021.75 = 24,021.75 : x
  2. Step 2: Convert to fraction form
    10,970.25/24,021.75 = 24,021.75/x
  3. Step 3: Cross multiply
    10,970.25x = 24,021.75 × 24,021.75
  4. Step 4: Simplify right side
    10,970.25x = 577,044,473.06
  5. Step 5: Solve for x
    x = 577,044,473.06/10,970.25
  6. Step 6: Final answer
    x = 52,600.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.