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Finding the Third Proportional to 21,101.13 and 46,354.15

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Solution

The third proportional to 21,101.13 and 46,354.15 is: 101,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.13 : 46,354.15 = 46,354.15 : x
  2. Step 2: Convert to fraction form
    21,101.13/46,354.15 = 46,354.15/x
  3. Step 3: Cross multiply
    21,101.13x = 46,354.15 × 46,354.15
  4. Step 4: Simplify right side
    21,101.13x = 2,148,707,077.37
  5. Step 5: Solve for x
    x = 2,148,707,077.37/21,101.13
  6. Step 6: Final answer
    x = 101,828.99

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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.