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Finding the Third Proportional to 47,475 and 70,480.50

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Solution

The third proportional to 47,475 and 70,480.50 is: 104,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,475 : 70,480.50 = 70,480.50 : x
  2. Step 2: Convert to fraction form
    47,475/70,480.50 = 70,480.50/x
  3. Step 3: Cross multiply
    47,475x = 70,480.50 × 70,480.50
  4. Step 4: Simplify right side
    47,475x = 4,967,500,880.25
  5. Step 5: Solve for x
    x = 4,967,500,880.25/47,475
  6. Step 6: Final answer
    x = 104,634.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.