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Finding the Third Proportional to 24,302 and 37,529

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Solution

The third proportional to 24,302 and 37,529 is: 57,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 37,529 = 37,529 : x
  2. Step 2: Convert to fraction form
    24,302/37,529 = 37,529/x
  3. Step 3: Cross multiply
    24,302x = 37,529 × 37,529
  4. Step 4: Simplify right side
    24,302x = 1,408,425,841
  5. Step 5: Solve for x
    x = 1,408,425,841/24,302
  6. Step 6: Final answer
    x = 57,955.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.