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Finding the Third Proportional to 35,368 and 49,471

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Solution

The third proportional to 35,368 and 49,471 is: 69,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,368 : 49,471 = 49,471 : x
  2. Step 2: Convert to fraction form
    35,368/49,471 = 49,471/x
  3. Step 3: Cross multiply
    35,368x = 49,471 × 49,471
  4. Step 4: Simplify right side
    35,368x = 2,447,379,841
  5. Step 5: Solve for x
    x = 2,447,379,841/35,368
  6. Step 6: Final answer
    x = 69,197.58

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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.