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Finding the Third Proportional to 10,818.56 and 23,711.06

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Solution

The third proportional to 10,818.56 and 23,711.06 is: 51,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.56 : 23,711.06 = 23,711.06 : x
  2. Step 2: Convert to fraction form
    10,818.56/23,711.06 = 23,711.06/x
  3. Step 3: Cross multiply
    10,818.56x = 23,711.06 × 23,711.06
  4. Step 4: Simplify right side
    10,818.56x = 562,214,484.88
  5. Step 5: Solve for x
    x = 562,214,484.88/10,818.56
  6. Step 6: Final answer
    x = 51,967.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.