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Finding the Third Proportional to 25,146 and 38,037

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Solution

The third proportional to 25,146 and 38,037 is: 57,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146 : 38,037 = 38,037 : x
  2. Step 2: Convert to fraction form
    25,146/38,037 = 38,037/x
  3. Step 3: Cross multiply
    25,146x = 38,037 × 38,037
  4. Step 4: Simplify right side
    25,146x = 1,446,813,369
  5. Step 5: Solve for x
    x = 1,446,813,369/25,146
  6. Step 6: Final answer
    x = 57,536.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.