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Finding the Third Proportional to 22,970.72 and 49,460.20

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Solution

The third proportional to 22,970.72 and 49,460.20 is: 106,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.72 : 49,460.20 = 49,460.20 : x
  2. Step 2: Convert to fraction form
    22,970.72/49,460.20 = 49,460.20/x
  3. Step 3: Cross multiply
    22,970.72x = 49,460.20 × 49,460.20
  4. Step 4: Simplify right side
    22,970.72x = 2,446,311,693.17
  5. Step 5: Solve for x
    x = 2,446,311,693.17/22,970.72
  6. Step 6: Final answer
    x = 106,496.93

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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.