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Finding the Third Proportional to 27,201 and 42,037

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Solution

The third proportional to 27,201 and 42,037 is: 64,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201 : 42,037 = 42,037 : x
  2. Step 2: Convert to fraction form
    27,201/42,037 = 42,037/x
  3. Step 3: Cross multiply
    27,201x = 42,037 × 42,037
  4. Step 4: Simplify right side
    27,201x = 1,767,109,369
  5. Step 5: Solve for x
    x = 1,767,109,369/27,201
  6. Step 6: Final answer
    x = 64,964.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.