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Finding the Third Proportional to 32,152 and 50,069

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Solution

The third proportional to 32,152 and 50,069 is: 77,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152 : 50,069 = 50,069 : x
  2. Step 2: Convert to fraction form
    32,152/50,069 = 50,069/x
  3. Step 3: Cross multiply
    32,152x = 50,069 × 50,069
  4. Step 4: Simplify right side
    32,152x = 2,506,904,761
  5. Step 5: Solve for x
    x = 2,506,904,761/32,152
  6. Step 6: Final answer
    x = 77,970.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.