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Finding the Third Proportional to 21,426.75 and 46,538.88

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Solution

The third proportional to 21,426.75 and 46,538.88 is: 101,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,426.75 : 46,538.88 = 46,538.88 : x
  2. Step 2: Convert to fraction form
    21,426.75/46,538.88 = 46,538.88/x
  3. Step 3: Cross multiply
    21,426.75x = 46,538.88 × 46,538.88
  4. Step 4: Simplify right side
    21,426.75x = 2,165,866,886.27
  5. Step 5: Solve for x
    x = 2,165,866,886.27/21,426.75
  6. Step 6: Final answer
    x = 101,082.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.