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Finding the Third Proportional to 32,843 and 70,843

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Solution

The third proportional to 32,843 and 70,843 is: 152,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843 : 70,843 = 70,843 : x
  2. Step 2: Convert to fraction form
    32,843/70,843 = 70,843/x
  3. Step 3: Cross multiply
    32,843x = 70,843 × 70,843
  4. Step 4: Simplify right side
    32,843x = 5,018,730,649
  5. Step 5: Solve for x
    x = 5,018,730,649/32,843
  6. Step 6: Final answer
    x = 152,809.75

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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.