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Finding the Third Proportional to 32,066 and 70,036

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Solution

The third proportional to 32,066 and 70,036 is: 152,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066 : 70,036 = 70,036 : x
  2. Step 2: Convert to fraction form
    32,066/70,036 = 70,036/x
  3. Step 3: Cross multiply
    32,066x = 70,036 × 70,036
  4. Step 4: Simplify right side
    32,066x = 4,905,041,296
  5. Step 5: Solve for x
    x = 4,905,041,296/32,066
  6. Step 6: Final answer
    x = 152,967.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.