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Finding the Third Proportional to 47,076.75 and 70,615.13

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Solution

The third proportional to 47,076.75 and 70,615.13 is: 105,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,076.75 : 70,615.13 = 70,615.13 : x
  2. Step 2: Convert to fraction form
    47,076.75/70,615.13 = 70,615.13/x
  3. Step 3: Cross multiply
    47,076.75x = 70,615.13 × 70,615.13
  4. Step 4: Simplify right side
    47,076.75x = 4,986,495,878.77
  5. Step 5: Solve for x
    x = 4,986,495,878.77/47,076.75
  6. Step 6: Final answer
    x = 105,922.69

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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.