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Finding the Third Proportional to 22,829 and 34,316

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Solution

The third proportional to 22,829 and 34,316 is: 51,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829 : 34,316 = 34,316 : x
  2. Step 2: Convert to fraction form
    22,829/34,316 = 34,316/x
  3. Step 3: Cross multiply
    22,829x = 34,316 × 34,316
  4. Step 4: Simplify right side
    22,829x = 1,177,587,856
  5. Step 5: Solve for x
    x = 1,177,587,856/22,829
  6. Step 6: Final answer
    x = 51,582.98

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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.