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Finding the Third Proportional to 10,134.63 and 21,767.75

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Solution

The third proportional to 10,134.63 and 21,767.75 is: 46,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.63 : 21,767.75 = 21,767.75 : x
  2. Step 2: Convert to fraction form
    10,134.63/21,767.75 = 21,767.75/x
  3. Step 3: Cross multiply
    10,134.63x = 21,767.75 × 21,767.75
  4. Step 4: Simplify right side
    10,134.63x = 473,834,940.06
  5. Step 5: Solve for x
    x = 473,834,940.06/10,134.63
  6. Step 6: Final answer
    x = 46,754.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.