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Finding the Third Proportional to 14,301 and 21,877

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Solution

The third proportional to 14,301 and 21,877 is: 33,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301 : 21,877 = 21,877 : x
  2. Step 2: Convert to fraction form
    14,301/21,877 = 21,877/x
  3. Step 3: Cross multiply
    14,301x = 21,877 × 21,877
  4. Step 4: Simplify right side
    14,301x = 478,603,129
  5. Step 5: Solve for x
    x = 478,603,129/14,301
  6. Step 6: Final answer
    x = 33,466.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.