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Finding the Third Proportional to 10,816 and 18,289

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Solution

The third proportional to 10,816 and 18,289 is: 30,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816 : 18,289 = 18,289 : x
  2. Step 2: Convert to fraction form
    10,816/18,289 = 18,289/x
  3. Step 3: Cross multiply
    10,816x = 18,289 × 18,289
  4. Step 4: Simplify right side
    10,816x = 334,487,521
  5. Step 5: Solve for x
    x = 334,487,521/10,816
  6. Step 6: Final answer
    x = 30,925.25

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.