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Finding the Third Proportional to 37,302 and 56,313

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Solution

The third proportional to 37,302 and 56,313 is: 85,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,302 : 56,313 = 56,313 : x
  2. Step 2: Convert to fraction form
    37,302/56,313 = 56,313/x
  3. Step 3: Cross multiply
    37,302x = 56,313 × 56,313
  4. Step 4: Simplify right side
    37,302x = 3,171,153,969
  5. Step 5: Solve for x
    x = 3,171,153,969/37,302
  6. Step 6: Final answer
    x = 85,012.97

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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.