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Finding the Third Proportional to 38,596 and 56,806

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Solution

The third proportional to 38,596 and 56,806 is: 83,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,596 : 56,806 = 56,806 : x
  2. Step 2: Convert to fraction form
    38,596/56,806 = 56,806/x
  3. Step 3: Cross multiply
    38,596x = 56,806 × 56,806
  4. Step 4: Simplify right side
    38,596x = 3,226,921,636
  5. Step 5: Solve for x
    x = 3,226,921,636/38,596
  6. Step 6: Final answer
    x = 83,607.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.