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Finding the Third Proportional to 32,480 and 70,141

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Solution

The third proportional to 32,480 and 70,141 is: 151,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480 : 70,141 = 70,141 : x
  2. Step 2: Convert to fraction form
    32,480/70,141 = 70,141/x
  3. Step 3: Cross multiply
    32,480x = 70,141 × 70,141
  4. Step 4: Simplify right side
    32,480x = 4,919,759,881
  5. Step 5: Solve for x
    x = 4,919,759,881/32,480
  6. Step 6: Final answer
    x = 151,470.44

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Why These Related Problems?

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