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Finding the Third Proportional to 45,848 and 65,410

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Solution

The third proportional to 45,848 and 65,410 is: 93,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,848 : 65,410 = 65,410 : x
  2. Step 2: Convert to fraction form
    45,848/65,410 = 65,410/x
  3. Step 3: Cross multiply
    45,848x = 65,410 × 65,410
  4. Step 4: Simplify right side
    45,848x = 4,278,468,100
  5. Step 5: Solve for x
    x = 4,278,468,100/45,848
  6. Step 6: Final answer
    x = 93,318.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.