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Finding the Third Proportional to 35,738 and 52,537

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Solution

The third proportional to 35,738 and 52,537 is: 77,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738 : 52,537 = 52,537 : x
  2. Step 2: Convert to fraction form
    35,738/52,537 = 52,537/x
  3. Step 3: Cross multiply
    35,738x = 52,537 × 52,537
  4. Step 4: Simplify right side
    35,738x = 2,760,136,369
  5. Step 5: Solve for x
    x = 2,760,136,369/35,738
  6. Step 6: Final answer
    x = 77,232.54

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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.