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Finding the Third Proportional to 22,520 and 35,841

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Solution

The third proportional to 22,520 and 35,841 is: 57,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520 : 35,841 = 35,841 : x
  2. Step 2: Convert to fraction form
    22,520/35,841 = 35,841/x
  3. Step 3: Cross multiply
    22,520x = 35,841 × 35,841
  4. Step 4: Simplify right side
    22,520x = 1,284,577,281
  5. Step 5: Solve for x
    x = 1,284,577,281/22,520
  6. Step 6: Final answer
    x = 57,041.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.