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Finding the Third Proportional to 32,965 and 52,411

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Solution

The third proportional to 32,965 and 52,411 is: 83,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965 : 52,411 = 52,411 : x
  2. Step 2: Convert to fraction form
    32,965/52,411 = 52,411/x
  3. Step 3: Cross multiply
    32,965x = 52,411 × 52,411
  4. Step 4: Simplify right side
    32,965x = 2,746,912,921
  5. Step 5: Solve for x
    x = 2,746,912,921/32,965
  6. Step 6: Final answer
    x = 83,328.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.