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Finding the Third Proportional to 31,526 and 66,900

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Solution

The third proportional to 31,526 and 66,900 is: 141,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,526 : 66,900 = 66,900 : x
  2. Step 2: Convert to fraction form
    31,526/66,900 = 66,900/x
  3. Step 3: Cross multiply
    31,526x = 66,900 × 66,900
  4. Step 4: Simplify right side
    31,526x = 4,475,610,000
  5. Step 5: Solve for x
    x = 4,475,610,000/31,526
  6. Step 6: Final answer
    x = 141,965.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.