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Finding the Third Proportional to 10,316 and 22,993

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Solution

The third proportional to 10,316 and 22,993 is: 51,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316 : 22,993 = 22,993 : x
  2. Step 2: Convert to fraction form
    10,316/22,993 = 22,993/x
  3. Step 3: Cross multiply
    10,316x = 22,993 × 22,993
  4. Step 4: Simplify right side
    10,316x = 528,678,049
  5. Step 5: Solve for x
    x = 528,678,049/10,316
  6. Step 6: Final answer
    x = 51,248.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.