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Finding the Third Proportional to 46,408 and 66,318

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Solution

The third proportional to 46,408 and 66,318 is: 94,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,408 : 66,318 = 66,318 : x
  2. Step 2: Convert to fraction form
    46,408/66,318 = 66,318/x
  3. Step 3: Cross multiply
    46,408x = 66,318 × 66,318
  4. Step 4: Simplify right side
    46,408x = 4,398,077,124
  5. Step 5: Solve for x
    x = 4,398,077,124/46,408
  6. Step 6: Final answer
    x = 94,769.81

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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.