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Finding the Third Proportional to 36,778 and 55,572

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Solution

The third proportional to 36,778 and 55,572 is: 83,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778 : 55,572 = 55,572 : x
  2. Step 2: Convert to fraction form
    36,778/55,572 = 55,572/x
  3. Step 3: Cross multiply
    36,778x = 55,572 × 55,572
  4. Step 4: Simplify right side
    36,778x = 3,088,247,184
  5. Step 5: Solve for x
    x = 3,088,247,184/36,778
  6. Step 6: Final answer
    x = 83,969.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.