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Finding the Third Proportional to 36,952 and 48,808

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Solution

The third proportional to 36,952 and 48,808 is: 64,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952 : 48,808 = 48,808 : x
  2. Step 2: Convert to fraction form
    36,952/48,808 = 48,808/x
  3. Step 3: Cross multiply
    36,952x = 48,808 × 48,808
  4. Step 4: Simplify right side
    36,952x = 2,382,220,864
  5. Step 5: Solve for x
    x = 2,382,220,864/36,952
  6. Step 6: Final answer
    x = 64,467.98

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.