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Finding the Third Proportional to 48,724 and 74,732

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Solution

The third proportional to 48,724 and 74,732 is: 114,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,724 : 74,732 = 74,732 : x
  2. Step 2: Convert to fraction form
    48,724/74,732 = 74,732/x
  3. Step 3: Cross multiply
    48,724x = 74,732 × 74,732
  4. Step 4: Simplify right side
    48,724x = 5,584,871,824
  5. Step 5: Solve for x
    x = 5,584,871,824/48,724
  6. Step 6: Final answer
    x = 114,622.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.