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Finding the Third Proportional to 32,436 and 69,056

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Solution

The third proportional to 32,436 and 69,056 is: 147,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,436 : 69,056 = 69,056 : x
  2. Step 2: Convert to fraction form
    32,436/69,056 = 69,056/x
  3. Step 3: Cross multiply
    32,436x = 69,056 × 69,056
  4. Step 4: Simplify right side
    32,436x = 4,768,731,136
  5. Step 5: Solve for x
    x = 4,768,731,136/32,436
  6. Step 6: Final answer
    x = 147,019.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.