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Finding the Third Proportional to 14,566 and 34,239

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Solution

The third proportional to 14,566 and 34,239 is: 80,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566 : 34,239 = 34,239 : x
  2. Step 2: Convert to fraction form
    14,566/34,239 = 34,239/x
  3. Step 3: Cross multiply
    14,566x = 34,239 × 34,239
  4. Step 4: Simplify right side
    14,566x = 1,172,309,121
  5. Step 5: Solve for x
    x = 1,172,309,121/14,566
  6. Step 6: Final answer
    x = 80,482.57

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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.