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Finding the Third Proportional to 10,055.81 and 21,497.06

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Solution

The third proportional to 10,055.81 and 21,497.06 is: 45,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.81 : 21,497.06 = 21,497.06 : x
  2. Step 2: Convert to fraction form
    10,055.81/21,497.06 = 21,497.06/x
  3. Step 3: Cross multiply
    10,055.81x = 21,497.06 × 21,497.06
  4. Step 4: Simplify right side
    10,055.81x = 462,123,696.13
  5. Step 5: Solve for x
    x = 462,123,696.13/10,055.81
  6. Step 6: Final answer
    x = 45,955.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.