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Finding the Third Proportional to 10,462 and 14,730

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Solution

The third proportional to 10,462 and 14,730 is: 20,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462 : 14,730 = 14,730 : x
  2. Step 2: Convert to fraction form
    10,462/14,730 = 14,730/x
  3. Step 3: Cross multiply
    10,462x = 14,730 × 14,730
  4. Step 4: Simplify right side
    10,462x = 216,972,900
  5. Step 5: Solve for x
    x = 216,972,900/10,462
  6. Step 6: Final answer
    x = 20,739.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.