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Finding the Third Proportional to 38,742 and 57,465

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Solution

The third proportional to 38,742 and 57,465 is: 85,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742 : 57,465 = 57,465 : x
  2. Step 2: Convert to fraction form
    38,742/57,465 = 57,465/x
  3. Step 3: Cross multiply
    38,742x = 57,465 × 57,465
  4. Step 4: Simplify right side
    38,742x = 3,302,226,225
  5. Step 5: Solve for x
    x = 3,302,226,225/38,742
  6. Step 6: Final answer
    x = 85,236.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.