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Finding the Third Proportional to 35,292 and 49,466

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Solution

The third proportional to 35,292 and 49,466 is: 69,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,292 : 49,466 = 49,466 : x
  2. Step 2: Convert to fraction form
    35,292/49,466 = 49,466/x
  3. Step 3: Cross multiply
    35,292x = 49,466 × 49,466
  4. Step 4: Simplify right side
    35,292x = 2,446,885,156
  5. Step 5: Solve for x
    x = 2,446,885,156/35,292
  6. Step 6: Final answer
    x = 69,332.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.