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Finding the Third Proportional to 28,061 and 46,762

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Solution

The third proportional to 28,061 and 46,762 is: 77,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,061 : 46,762 = 46,762 : x
  2. Step 2: Convert to fraction form
    28,061/46,762 = 46,762/x
  3. Step 3: Cross multiply
    28,061x = 46,762 × 46,762
  4. Step 4: Simplify right side
    28,061x = 2,186,684,644
  5. Step 5: Solve for x
    x = 2,186,684,644/28,061
  6. Step 6: Final answer
    x = 77,926.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.