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Finding the Third Proportional to 34,316 and 51,329

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Solution

The third proportional to 34,316 and 51,329 is: 76,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,316 : 51,329 = 51,329 : x
  2. Step 2: Convert to fraction form
    34,316/51,329 = 51,329/x
  3. Step 3: Cross multiply
    34,316x = 51,329 × 51,329
  4. Step 4: Simplify right side
    34,316x = 2,634,666,241
  5. Step 5: Solve for x
    x = 2,634,666,241/34,316
  6. Step 6: Final answer
    x = 76,776.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.