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Finding the Third Proportional to 32,966.75 and 70,940

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Solution

The third proportional to 32,966.75 and 70,940 is: 152,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966.75 : 70,940 = 70,940 : x
  2. Step 2: Convert to fraction form
    32,966.75/70,940 = 70,940/x
  3. Step 3: Cross multiply
    32,966.75x = 70,940 × 70,940
  4. Step 4: Simplify right side
    32,966.75x = 5,032,483,600
  5. Step 5: Solve for x
    x = 5,032,483,600/32,966.75
  6. Step 6: Final answer
    x = 152,653.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.