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Finding the Third Proportional to 12,825 and 29,430

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Solution

The third proportional to 12,825 and 29,430 is: 67,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 29,430 = 29,430 : x
  2. Step 2: Convert to fraction form
    12,825/29,430 = 29,430/x
  3. Step 3: Cross multiply
    12,825x = 29,430 × 29,430
  4. Step 4: Simplify right side
    12,825x = 866,124,900
  5. Step 5: Solve for x
    x = 866,124,900/12,825
  6. Step 6: Final answer
    x = 67,534.11

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.