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Finding the Third Proportional to 14,734 and 22,535

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Solution

The third proportional to 14,734 and 22,535 is: 34,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734 : 22,535 = 22,535 : x
  2. Step 2: Convert to fraction form
    14,734/22,535 = 22,535/x
  3. Step 3: Cross multiply
    14,734x = 22,535 × 22,535
  4. Step 4: Simplify right side
    14,734x = 507,826,225
  5. Step 5: Solve for x
    x = 507,826,225/14,734
  6. Step 6: Final answer
    x = 34,466.28

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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.