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Finding the Third Proportional to 32,358 and 68,634

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Solution

The third proportional to 32,358 and 68,634 is: 145,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,358 : 68,634 = 68,634 : x
  2. Step 2: Convert to fraction form
    32,358/68,634 = 68,634/x
  3. Step 3: Cross multiply
    32,358x = 68,634 × 68,634
  4. Step 4: Simplify right side
    32,358x = 4,710,625,956
  5. Step 5: Solve for x
    x = 4,710,625,956/32,358
  6. Step 6: Final answer
    x = 145,578.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.