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Finding the Third Proportional to 14,534 and 34,138

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Solution

The third proportional to 14,534 and 34,138 is: 80,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534 : 34,138 = 34,138 : x
  2. Step 2: Convert to fraction form
    14,534/34,138 = 34,138/x
  3. Step 3: Cross multiply
    14,534x = 34,138 × 34,138
  4. Step 4: Simplify right side
    14,534x = 1,165,403,044
  5. Step 5: Solve for x
    x = 1,165,403,044/14,534
  6. Step 6: Final answer
    x = 80,184.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.