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Finding the Third Proportional to 14,762 and 22,143

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Solution

The third proportional to 14,762 and 22,143 is: 33,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762 : 22,143 = 22,143 : x
  2. Step 2: Convert to fraction form
    14,762/22,143 = 22,143/x
  3. Step 3: Cross multiply
    14,762x = 22,143 × 22,143
  4. Step 4: Simplify right side
    14,762x = 490,312,449
  5. Step 5: Solve for x
    x = 490,312,449/14,762
  6. Step 6: Final answer
    x = 33,214.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.