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Finding the Third Proportional to 47,094.50 and 70,642

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Solution

The third proportional to 47,094.50 and 70,642 is: 105,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,094.50 : 70,642 = 70,642 : x
  2. Step 2: Convert to fraction form
    47,094.50/70,642 = 70,642/x
  3. Step 3: Cross multiply
    47,094.50x = 70,642 × 70,642
  4. Step 4: Simplify right side
    47,094.50x = 4,990,292,164
  5. Step 5: Solve for x
    x = 4,990,292,164/47,094.50
  6. Step 6: Final answer
    x = 105,963.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.