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Finding the Third Proportional to 10,729 and 22,430

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Solution

The third proportional to 10,729 and 22,430 is: 46,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729 : 22,430 = 22,430 : x
  2. Step 2: Convert to fraction form
    10,729/22,430 = 22,430/x
  3. Step 3: Cross multiply
    10,729x = 22,430 × 22,430
  4. Step 4: Simplify right side
    10,729x = 503,104,900
  5. Step 5: Solve for x
    x = 503,104,900/10,729
  6. Step 6: Final answer
    x = 46,892.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.