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Finding the Third Proportional to 23,637 and 48,048

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Solution

The third proportional to 23,637 and 48,048 is: 97,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637 : 48,048 = 48,048 : x
  2. Step 2: Convert to fraction form
    23,637/48,048 = 48,048/x
  3. Step 3: Cross multiply
    23,637x = 48,048 × 48,048
  4. Step 4: Simplify right side
    23,637x = 2,308,610,304
  5. Step 5: Solve for x
    x = 2,308,610,304/23,637
  6. Step 6: Final answer
    x = 97,669.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.