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Finding the Third Proportional to 23,392 and 37,036

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Solution

The third proportional to 23,392 and 37,036 is: 58,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392 : 37,036 = 37,036 : x
  2. Step 2: Convert to fraction form
    23,392/37,036 = 37,036/x
  3. Step 3: Cross multiply
    23,392x = 37,036 × 37,036
  4. Step 4: Simplify right side
    23,392x = 1,371,665,296
  5. Step 5: Solve for x
    x = 1,371,665,296/23,392
  6. Step 6: Final answer
    x = 58,638.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.