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Finding the Third Proportional to 36,746.16 and 80,577.28

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Solution

The third proportional to 36,746.16 and 80,577.28 is: 176,690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,746.16 : 80,577.28 = 80,577.28 : x
  2. Step 2: Convert to fraction form
    36,746.16/80,577.28 = 80,577.28/x
  3. Step 3: Cross multiply
    36,746.16x = 80,577.28 × 80,577.28
  4. Step 4: Simplify right side
    36,746.16x = 6,492,698,253.64
  5. Step 5: Solve for x
    x = 6,492,698,253.64/36,746.16
  6. Step 6: Final answer
    x = 176,690.54

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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.