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Finding the Third Proportional to 36,520 and 56,392.50

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Solution

The third proportional to 36,520 and 56,392.50 is: 87,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,520 : 56,392.50 = 56,392.50 : x
  2. Step 2: Convert to fraction form
    36,520/56,392.50 = 56,392.50/x
  3. Step 3: Cross multiply
    36,520x = 56,392.50 × 56,392.50
  4. Step 4: Simplify right side
    36,520x = 3,180,114,056.25
  5. Step 5: Solve for x
    x = 3,180,114,056.25/36,520
  6. Step 6: Final answer
    x = 87,078.70

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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.