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Finding the Third Proportional to 48,370 and 65,685

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Solution

The third proportional to 48,370 and 65,685 is: 89,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,370 : 65,685 = 65,685 : x
  2. Step 2: Convert to fraction form
    48,370/65,685 = 65,685/x
  3. Step 3: Cross multiply
    48,370x = 65,685 × 65,685
  4. Step 4: Simplify right side
    48,370x = 4,314,519,225
  5. Step 5: Solve for x
    x = 4,314,519,225/48,370
  6. Step 6: Final answer
    x = 89,198.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.