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Finding the Third Proportional to 35,154 and 52,776

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Solution

The third proportional to 35,154 and 52,776 is: 79,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,154 : 52,776 = 52,776 : x
  2. Step 2: Convert to fraction form
    35,154/52,776 = 52,776/x
  3. Step 3: Cross multiply
    35,154x = 52,776 × 52,776
  4. Step 4: Simplify right side
    35,154x = 2,785,306,176
  5. Step 5: Solve for x
    x = 2,785,306,176/35,154
  6. Step 6: Final answer
    x = 79,231.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.