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Finding the Third Proportional to 23,674 and 51,776

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Solution

The third proportional to 23,674 and 51,776 is: 113,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674 : 51,776 = 51,776 : x
  2. Step 2: Convert to fraction form
    23,674/51,776 = 51,776/x
  3. Step 3: Cross multiply
    23,674x = 51,776 × 51,776
  4. Step 4: Simplify right side
    23,674x = 2,680,754,176
  5. Step 5: Solve for x
    x = 2,680,754,176/23,674
  6. Step 6: Final answer
    x = 113,236.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.