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Finding the Third Proportional to 14,656 and 17,056

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Solution

The third proportional to 14,656 and 17,056 is: 19,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656 : 17,056 = 17,056 : x
  2. Step 2: Convert to fraction form
    14,656/17,056 = 17,056/x
  3. Step 3: Cross multiply
    14,656x = 17,056 × 17,056
  4. Step 4: Simplify right side
    14,656x = 290,907,136
  5. Step 5: Solve for x
    x = 290,907,136/14,656
  6. Step 6: Final answer
    x = 19,849.01

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.