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Finding the Third Proportional to 14,738 and 22,538

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Solution

The third proportional to 14,738 and 22,538 is: 34,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738 : 22,538 = 22,538 : x
  2. Step 2: Convert to fraction form
    14,738/22,538 = 22,538/x
  3. Step 3: Cross multiply
    14,738x = 22,538 × 22,538
  4. Step 4: Simplify right side
    14,738x = 507,961,444
  5. Step 5: Solve for x
    x = 507,961,444/14,738
  6. Step 6: Final answer
    x = 34,466.10

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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.