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Finding the Third Proportional to 35,018 and 75,862

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Solution

The third proportional to 35,018 and 75,862 is: 164,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,018 : 75,862 = 75,862 : x
  2. Step 2: Convert to fraction form
    35,018/75,862 = 75,862/x
  3. Step 3: Cross multiply
    35,018x = 75,862 × 75,862
  4. Step 4: Simplify right side
    35,018x = 5,755,043,044
  5. Step 5: Solve for x
    x = 5,755,043,044/35,018
  6. Step 6: Final answer
    x = 164,345.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.