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Finding the Third Proportional to 23,791 and 51,820

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Solution

The third proportional to 23,791 and 51,820 is: 112,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791 : 51,820 = 51,820 : x
  2. Step 2: Convert to fraction form
    23,791/51,820 = 51,820/x
  3. Step 3: Cross multiply
    23,791x = 51,820 × 51,820
  4. Step 4: Simplify right side
    23,791x = 2,685,312,400
  5. Step 5: Solve for x
    x = 2,685,312,400/23,791
  6. Step 6: Final answer
    x = 112,870.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.