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Finding the Third Proportional to 46,496 and 67,476

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Solution

The third proportional to 46,496 and 67,476 is: 97,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,496 : 67,476 = 67,476 : x
  2. Step 2: Convert to fraction form
    46,496/67,476 = 67,476/x
  3. Step 3: Cross multiply
    46,496x = 67,476 × 67,476
  4. Step 4: Simplify right side
    46,496x = 4,553,010,576
  5. Step 5: Solve for x
    x = 4,553,010,576/46,496
  6. Step 6: Final answer
    x = 97,922.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.