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Finding the Third Proportional to 10,432 and 17,056

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Solution

The third proportional to 10,432 and 17,056 is: 27,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432 : 17,056 = 17,056 : x
  2. Step 2: Convert to fraction form
    10,432/17,056 = 17,056/x
  3. Step 3: Cross multiply
    10,432x = 17,056 × 17,056
  4. Step 4: Simplify right side
    10,432x = 290,907,136
  5. Step 5: Solve for x
    x = 290,907,136/10,432
  6. Step 6: Final answer
    x = 27,886.04

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.