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Finding the Third Proportional to 47,182.50 and 72,416.25

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Solution

The third proportional to 47,182.50 and 72,416.25 is: 111,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,182.50 : 72,416.25 = 72,416.25 : x
  2. Step 2: Convert to fraction form
    47,182.50/72,416.25 = 72,416.25/x
  3. Step 3: Cross multiply
    47,182.50x = 72,416.25 × 72,416.25
  4. Step 4: Simplify right side
    47,182.50x = 5,244,113,264.06
  5. Step 5: Solve for x
    x = 5,244,113,264.06/47,182.50
  6. Step 6: Final answer
    x = 111,145.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.