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Finding the Third Proportional to 32,153 and 50,070

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Solution

The third proportional to 32,153 and 50,070 is: 77,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153 : 50,070 = 50,070 : x
  2. Step 2: Convert to fraction form
    32,153/50,070 = 50,070/x
  3. Step 3: Cross multiply
    32,153x = 50,070 × 50,070
  4. Step 4: Simplify right side
    32,153x = 2,507,004,900
  5. Step 5: Solve for x
    x = 2,507,004,900/32,153
  6. Step 6: Final answer
    x = 77,971.10

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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.