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Finding the Third Proportional to 51,806 and 65,715

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Solution

The third proportional to 51,806 and 65,715 is: 83,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806 : 65,715 = 65,715 : x
  2. Step 2: Convert to fraction form
    51,806/65,715 = 65,715/x
  3. Step 3: Cross multiply
    51,806x = 65,715 × 65,715
  4. Step 4: Simplify right side
    51,806x = 4,318,461,225
  5. Step 5: Solve for x
    x = 4,318,461,225/51,806
  6. Step 6: Final answer
    x = 83,358.32

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.