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Finding the Third Proportional to 48,502 and 74,913

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Solution

The third proportional to 48,502 and 74,913 is: 115,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,502 : 74,913 = 74,913 : x
  2. Step 2: Convert to fraction form
    48,502/74,913 = 74,913/x
  3. Step 3: Cross multiply
    48,502x = 74,913 × 74,913
  4. Step 4: Simplify right side
    48,502x = 5,611,957,569
  5. Step 5: Solve for x
    x = 5,611,957,569/48,502
  6. Step 6: Final answer
    x = 115,705.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.