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Finding the Third Proportional to 31,152 and 66,381

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Solution

The third proportional to 31,152 and 66,381 is: 141,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152 : 66,381 = 66,381 : x
  2. Step 2: Convert to fraction form
    31,152/66,381 = 66,381/x
  3. Step 3: Cross multiply
    31,152x = 66,381 × 66,381
  4. Step 4: Simplify right side
    31,152x = 4,406,437,161
  5. Step 5: Solve for x
    x = 4,406,437,161/31,152
  6. Step 6: Final answer
    x = 141,449.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.