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Finding the Third Proportional to 10,591 and 24,623

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Solution

The third proportional to 10,591 and 24,623 is: 57,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591 : 24,623 = 24,623 : x
  2. Step 2: Convert to fraction form
    10,591/24,623 = 24,623/x
  3. Step 3: Cross multiply
    10,591x = 24,623 × 24,623
  4. Step 4: Simplify right side
    10,591x = 606,292,129
  5. Step 5: Solve for x
    x = 606,292,129/10,591
  6. Step 6: Final answer
    x = 57,245.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.