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Finding the Third Proportional to 36,838.13 and 56,656.13

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Solution

The third proportional to 36,838.13 and 56,656.13 is: 87,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838.13 : 56,656.13 = 56,656.13 : x
  2. Step 2: Convert to fraction form
    36,838.13/56,656.13 = 56,656.13/x
  3. Step 3: Cross multiply
    36,838.13x = 56,656.13 × 56,656.13
  4. Step 4: Simplify right side
    36,838.13x = 3,209,916,500.02
  5. Step 5: Solve for x
    x = 3,209,916,500.02/36,838.13
  6. Step 6: Final answer
    x = 87,135.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.