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Finding the Third Proportional to 36,746.16 and 80,501.34

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Solution

The third proportional to 36,746.16 and 80,501.34 is: 176,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,746.16 : 80,501.34 = 80,501.34 : x
  2. Step 2: Convert to fraction form
    36,746.16/80,501.34 = 80,501.34/x
  3. Step 3: Cross multiply
    36,746.16x = 80,501.34 × 80,501.34
  4. Step 4: Simplify right side
    36,746.16x = 6,480,466,345.56
  5. Step 5: Solve for x
    x = 6,480,466,345.56/36,746.16
  6. Step 6: Final answer
    x = 176,357.67

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