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Finding the Third Proportional to 36,480 and 75,487.50

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Solution

The third proportional to 36,480 and 75,487.50 is: 156,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,480 : 75,487.50 = 75,487.50 : x
  2. Step 2: Convert to fraction form
    36,480/75,487.50 = 75,487.50/x
  3. Step 3: Cross multiply
    36,480x = 75,487.50 × 75,487.50
  4. Step 4: Simplify right side
    36,480x = 5,698,362,656.25
  5. Step 5: Solve for x
    x = 5,698,362,656.25/36,480
  6. Step 6: Final answer
    x = 156,205.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.