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Finding the Third Proportional to 21,213 and 46,663.31

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Solution

The third proportional to 21,213 and 46,663.31 is: 102,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213 : 46,663.31 = 46,663.31 : x
  2. Step 2: Convert to fraction form
    21,213/46,663.31 = 46,663.31/x
  3. Step 3: Cross multiply
    21,213x = 46,663.31 × 46,663.31
  4. Step 4: Simplify right side
    21,213x = 2,177,464,733.47
  5. Step 5: Solve for x
    x = 2,177,464,733.47/21,213
  6. Step 6: Final answer
    x = 102,647.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.