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Finding the Third Proportional to 32,100 and 70,424

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Solution

The third proportional to 32,100 and 70,424 is: 154,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100 : 70,424 = 70,424 : x
  2. Step 2: Convert to fraction form
    32,100/70,424 = 70,424/x
  3. Step 3: Cross multiply
    32,100x = 70,424 × 70,424
  4. Step 4: Simplify right side
    32,100x = 4,959,539,776
  5. Step 5: Solve for x
    x = 4,959,539,776/32,100
  6. Step 6: Final answer
    x = 154,502.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.