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Finding the Third Proportional to 22,970 and 33,726

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Solution

The third proportional to 22,970 and 33,726 is: 49,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970 : 33,726 = 33,726 : x
  2. Step 2: Convert to fraction form
    22,970/33,726 = 33,726/x
  3. Step 3: Cross multiply
    22,970x = 33,726 × 33,726
  4. Step 4: Simplify right side
    22,970x = 1,137,443,076
  5. Step 5: Solve for x
    x = 1,137,443,076/22,970
  6. Step 6: Final answer
    x = 49,518.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.