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Finding the Third Proportional to 12,894 and 20,430

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Solution

The third proportional to 12,894 and 20,430 is: 32,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894 : 20,430 = 20,430 : x
  2. Step 2: Convert to fraction form
    12,894/20,430 = 20,430/x
  3. Step 3: Cross multiply
    12,894x = 20,430 × 20,430
  4. Step 4: Simplify right side
    12,894x = 417,384,900
  5. Step 5: Solve for x
    x = 417,384,900/12,894
  6. Step 6: Final answer
    x = 32,370.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.