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Finding the Third Proportional to 8,070 and 14,934

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Solution

The third proportional to 8,070 and 14,934 is: 27,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070 : 14,934 = 14,934 : x
  2. Step 2: Convert to fraction form
    8,070/14,934 = 14,934/x
  3. Step 3: Cross multiply
    8,070x = 14,934 × 14,934
  4. Step 4: Simplify right side
    8,070x = 223,024,356
  5. Step 5: Solve for x
    x = 223,024,356/8,070
  6. Step 6: Final answer
    x = 27,636.23

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.