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Finding the Third Proportional to 32,810 and 70,806

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Solution

The third proportional to 32,810 and 70,806 is: 152,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810 : 70,806 = 70,806 : x
  2. Step 2: Convert to fraction form
    32,810/70,806 = 70,806/x
  3. Step 3: Cross multiply
    32,810x = 70,806 × 70,806
  4. Step 4: Simplify right side
    32,810x = 5,013,489,636
  5. Step 5: Solve for x
    x = 5,013,489,636/32,810
  6. Step 6: Final answer
    x = 152,803.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.