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Finding the Third Proportional to 10,599 and 14,533

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Solution

The third proportional to 10,599 and 14,533 is: 19,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599 : 14,533 = 14,533 : x
  2. Step 2: Convert to fraction form
    10,599/14,533 = 14,533/x
  3. Step 3: Cross multiply
    10,599x = 14,533 × 14,533
  4. Step 4: Simplify right side
    10,599x = 211,208,089
  5. Step 5: Solve for x
    x = 211,208,089/10,599
  6. Step 6: Final answer
    x = 19,927.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.