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Finding the Third Proportional to 37,386 and 62,309

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Solution

The third proportional to 37,386 and 62,309 is: 103,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,386 : 62,309 = 62,309 : x
  2. Step 2: Convert to fraction form
    37,386/62,309 = 62,309/x
  3. Step 3: Cross multiply
    37,386x = 62,309 × 62,309
  4. Step 4: Simplify right side
    37,386x = 3,882,411,481
  5. Step 5: Solve for x
    x = 3,882,411,481/37,386
  6. Step 6: Final answer
    x = 103,846.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.