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Finding the Third Proportional to 36,000.50 and 48,464

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Solution

The third proportional to 36,000.50 and 48,464 is: 65,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000.50 : 48,464 = 48,464 : x
  2. Step 2: Convert to fraction form
    36,000.50/48,464 = 48,464/x
  3. Step 3: Cross multiply
    36,000.50x = 48,464 × 48,464
  4. Step 4: Simplify right side
    36,000.50x = 2,348,759,296
  5. Step 5: Solve for x
    x = 2,348,759,296/36,000.50
  6. Step 6: Final answer
    x = 65,242.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.