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Finding the Third Proportional to 10,973.81 and 23,253.75

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Solution

The third proportional to 10,973.81 and 23,253.75 is: 49,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.81 : 23,253.75 = 23,253.75 : x
  2. Step 2: Convert to fraction form
    10,973.81/23,253.75 = 23,253.75/x
  3. Step 3: Cross multiply
    10,973.81x = 23,253.75 × 23,253.75
  4. Step 4: Simplify right side
    10,973.81x = 540,736,889.06
  5. Step 5: Solve for x
    x = 540,736,889.06/10,973.81
  6. Step 6: Final answer
    x = 49,275.21

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.