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Finding the Third Proportional to 40,026 and 85,862

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Solution

The third proportional to 40,026 and 85,862 is: 184,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,026 : 85,862 = 85,862 : x
  2. Step 2: Convert to fraction form
    40,026/85,862 = 85,862/x
  3. Step 3: Cross multiply
    40,026x = 85,862 × 85,862
  4. Step 4: Simplify right side
    40,026x = 7,372,283,044
  5. Step 5: Solve for x
    x = 7,372,283,044/40,026
  6. Step 6: Final answer
    x = 184,187.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.