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Finding the Third Proportional to 14,312 and 34,678

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Solution

The third proportional to 14,312 and 34,678 is: 84,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312 : 34,678 = 34,678 : x
  2. Step 2: Convert to fraction form
    14,312/34,678 = 34,678/x
  3. Step 3: Cross multiply
    14,312x = 34,678 × 34,678
  4. Step 4: Simplify right side
    14,312x = 1,202,563,684
  5. Step 5: Solve for x
    x = 1,202,563,684/14,312
  6. Step 6: Final answer
    x = 84,024.85

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.