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Finding the Third Proportional to 36,502 and 56,364

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Solution

The third proportional to 36,502 and 56,364 is: 87,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,502 : 56,364 = 56,364 : x
  2. Step 2: Convert to fraction form
    36,502/56,364 = 56,364/x
  3. Step 3: Cross multiply
    36,502x = 56,364 × 56,364
  4. Step 4: Simplify right side
    36,502x = 3,176,900,496
  5. Step 5: Solve for x
    x = 3,176,900,496/36,502
  6. Step 6: Final answer
    x = 87,033.60

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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.