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Finding the Third Proportional to 35,653.50 and 77,466

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Solution

The third proportional to 35,653.50 and 77,466 is: 168,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.50 : 77,466 = 77,466 : x
  2. Step 2: Convert to fraction form
    35,653.50/77,466 = 77,466/x
  3. Step 3: Cross multiply
    35,653.50x = 77,466 × 77,466
  4. Step 4: Simplify right side
    35,653.50x = 6,000,981,156
  5. Step 5: Solve for x
    x = 6,000,981,156/35,653.50
  6. Step 6: Final answer
    x = 168,313.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.