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Finding the Third Proportional to 32,875 and 70,921

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Solution

The third proportional to 32,875 and 70,921 is: 152,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875 : 70,921 = 70,921 : x
  2. Step 2: Convert to fraction form
    32,875/70,921 = 70,921/x
  3. Step 3: Cross multiply
    32,875x = 70,921 × 70,921
  4. Step 4: Simplify right side
    32,875x = 5,029,788,241
  5. Step 5: Solve for x
    x = 5,029,788,241/32,875
  6. Step 6: Final answer
    x = 152,997.36

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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.