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Finding the Third Proportional to 11,653 and 22,313

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Solution

The third proportional to 11,653 and 22,313 is: 42,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653 : 22,313 = 22,313 : x
  2. Step 2: Convert to fraction form
    11,653/22,313 = 22,313/x
  3. Step 3: Cross multiply
    11,653x = 22,313 × 22,313
  4. Step 4: Simplify right side
    11,653x = 497,869,969
  5. Step 5: Solve for x
    x = 497,869,969/11,653
  6. Step 6: Final answer
    x = 42,724.62

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.