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Finding the Third Proportional to 8,705.81 and 23,724.56

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Solution

The third proportional to 8,705.81 and 23,724.56 is: 64,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.81 : 23,724.56 = 23,724.56 : x
  2. Step 2: Convert to fraction form
    8,705.81/23,724.56 = 23,724.56/x
  3. Step 3: Cross multiply
    8,705.81x = 23,724.56 × 23,724.56
  4. Step 4: Simplify right side
    8,705.81x = 562,854,865.82
  5. Step 5: Solve for x
    x = 562,854,865.82/8,705.81
  6. Step 6: Final answer
    x = 64,652.77

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Why These Related Problems?

These problems maintain the same ratio (2.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.