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Finding the Third Proportional to 14,633 and 32,430

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Solution

The third proportional to 14,633 and 32,430 is: 71,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633 : 32,430 = 32,430 : x
  2. Step 2: Convert to fraction form
    14,633/32,430 = 32,430/x
  3. Step 3: Cross multiply
    14,633x = 32,430 × 32,430
  4. Step 4: Simplify right side
    14,633x = 1,051,704,900
  5. Step 5: Solve for x
    x = 1,051,704,900/14,633
  6. Step 6: Final answer
    x = 71,872.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.