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Finding the Third Proportional to 32,940 and 70,572

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Solution

The third proportional to 32,940 and 70,572 is: 151,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940 : 70,572 = 70,572 : x
  2. Step 2: Convert to fraction form
    32,940/70,572 = 70,572/x
  3. Step 3: Cross multiply
    32,940x = 70,572 × 70,572
  4. Step 4: Simplify right side
    32,940x = 4,980,407,184
  5. Step 5: Solve for x
    x = 4,980,407,184/32,940
  6. Step 6: Final answer
    x = 151,196.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.