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Finding the Third Proportional to 22,669 and 37,461

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Solution

The third proportional to 22,669 and 37,461 is: 61,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,669 : 37,461 = 37,461 : x
  2. Step 2: Convert to fraction form
    22,669/37,461 = 37,461/x
  3. Step 3: Cross multiply
    22,669x = 37,461 × 37,461
  4. Step 4: Simplify right side
    22,669x = 1,403,326,521
  5. Step 5: Solve for x
    x = 1,403,326,521/22,669
  6. Step 6: Final answer
    x = 61,905.09

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.