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Finding the Third Proportional to 14,812 and 22,762

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Solution

The third proportional to 14,812 and 22,762 is: 34,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812 : 22,762 = 22,762 : x
  2. Step 2: Convert to fraction form
    14,812/22,762 = 22,762/x
  3. Step 3: Cross multiply
    14,812x = 22,762 × 22,762
  4. Step 4: Simplify right side
    14,812x = 518,108,644
  5. Step 5: Solve for x
    x = 518,108,644/14,812
  6. Step 6: Final answer
    x = 34,978.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.