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Finding the Third Proportional to 35,389 and 77,341

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Solution

The third proportional to 35,389 and 77,341 is: 169,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,389 : 77,341 = 77,341 : x
  2. Step 2: Convert to fraction form
    35,389/77,341 = 77,341/x
  3. Step 3: Cross multiply
    35,389x = 77,341 × 77,341
  4. Step 4: Simplify right side
    35,389x = 5,981,630,281
  5. Step 5: Solve for x
    x = 5,981,630,281/35,389
  6. Step 6: Final answer
    x = 169,025.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.