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Finding the Third Proportional to 29,637.56 and 52,696.41

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Solution

The third proportional to 29,637.56 and 52,696.41 is: 93,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,637.56 : 52,696.41 = 52,696.41 : x
  2. Step 2: Convert to fraction form
    29,637.56/52,696.41 = 52,696.41/x
  3. Step 3: Cross multiply
    29,637.56x = 52,696.41 × 52,696.41
  4. Step 4: Simplify right side
    29,637.56x = 2,776,911,231.67
  5. Step 5: Solve for x
    x = 2,776,911,231.67/29,637.56
  6. Step 6: Final answer
    x = 93,695.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.