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Finding the Third Proportional to 10,448.58 and 22,972.78

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Solution

The third proportional to 10,448.58 and 22,972.78 is: 50,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.58 : 22,972.78 = 22,972.78 : x
  2. Step 2: Convert to fraction form
    10,448.58/22,972.78 = 22,972.78/x
  3. Step 3: Cross multiply
    10,448.58x = 22,972.78 × 22,972.78
  4. Step 4: Simplify right side
    10,448.58x = 527,748,678.36
  5. Step 5: Solve for x
    x = 527,748,678.36/10,448.58
  6. Step 6: Final answer
    x = 50,509.14

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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.