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Finding the Third Proportional to 22,164 and 46,653

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Solution

The third proportional to 22,164 and 46,653 is: 98,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164 : 46,653 = 46,653 : x
  2. Step 2: Convert to fraction form
    22,164/46,653 = 46,653/x
  3. Step 3: Cross multiply
    22,164x = 46,653 × 46,653
  4. Step 4: Simplify right side
    22,164x = 2,176,502,409
  5. Step 5: Solve for x
    x = 2,176,502,409/22,164
  6. Step 6: Final answer
    x = 98,199.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.