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Finding the Third Proportional to 35,776 and 52,567

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Solution

The third proportional to 35,776 and 52,567 is: 77,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776 : 52,567 = 52,567 : x
  2. Step 2: Convert to fraction form
    35,776/52,567 = 52,567/x
  3. Step 3: Cross multiply
    35,776x = 52,567 × 52,567
  4. Step 4: Simplify right side
    35,776x = 2,763,289,489
  5. Step 5: Solve for x
    x = 2,763,289,489/35,776
  6. Step 6: Final answer
    x = 77,238.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.