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Finding the Third Proportional to 30,952 and 46,496

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Solution

The third proportional to 30,952 and 46,496 is: 69,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952 : 46,496 = 46,496 : x
  2. Step 2: Convert to fraction form
    30,952/46,496 = 46,496/x
  3. Step 3: Cross multiply
    30,952x = 46,496 × 46,496
  4. Step 4: Simplify right side
    30,952x = 2,161,878,016
  5. Step 5: Solve for x
    x = 2,161,878,016/30,952
  6. Step 6: Final answer
    x = 69,846.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.