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Finding the Third Proportional to 35,270 and 54,023

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Solution

The third proportional to 35,270 and 54,023 is: 82,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,270 : 54,023 = 54,023 : x
  2. Step 2: Convert to fraction form
    35,270/54,023 = 54,023/x
  3. Step 3: Cross multiply
    35,270x = 54,023 × 54,023
  4. Step 4: Simplify right side
    35,270x = 2,918,484,529
  5. Step 5: Solve for x
    x = 2,918,484,529/35,270
  6. Step 6: Final answer
    x = 82,746.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.