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Finding the Third Proportional to 35,510 and 55,703

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Solution

The third proportional to 35,510 and 55,703 is: 87,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510 : 55,703 = 55,703 : x
  2. Step 2: Convert to fraction form
    35,510/55,703 = 55,703/x
  3. Step 3: Cross multiply
    35,510x = 55,703 × 55,703
  4. Step 4: Simplify right side
    35,510x = 3,102,824,209
  5. Step 5: Solve for x
    x = 3,102,824,209/35,510
  6. Step 6: Final answer
    x = 87,378.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.