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Finding the Third Proportional to 48,282 and 70,695

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Solution

The third proportional to 48,282 and 70,695 is: 103,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,282 : 70,695 = 70,695 : x
  2. Step 2: Convert to fraction form
    48,282/70,695 = 70,695/x
  3. Step 3: Cross multiply
    48,282x = 70,695 × 70,695
  4. Step 4: Simplify right side
    48,282x = 4,997,783,025
  5. Step 5: Solve for x
    x = 4,997,783,025/48,282
  6. Step 6: Final answer
    x = 103,512.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.