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Finding the Third Proportional to 35,054 and 52,944

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Solution

The third proportional to 35,054 and 52,944 is: 79,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,054 : 52,944 = 52,944 : x
  2. Step 2: Convert to fraction form
    35,054/52,944 = 52,944/x
  3. Step 3: Cross multiply
    35,054x = 52,944 × 52,944
  4. Step 4: Simplify right side
    35,054x = 2,803,067,136
  5. Step 5: Solve for x
    x = 2,803,067,136/35,054
  6. Step 6: Final answer
    x = 79,964.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.