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Finding the Third Proportional to 32,415.75 and 47,877.75

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Solution

The third proportional to 32,415.75 and 47,877.75 is: 70,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.75 : 47,877.75 = 47,877.75 : x
  2. Step 2: Convert to fraction form
    32,415.75/47,877.75 = 47,877.75/x
  3. Step 3: Cross multiply
    32,415.75x = 47,877.75 × 47,877.75
  4. Step 4: Simplify right side
    32,415.75x = 2,292,278,945.06
  5. Step 5: Solve for x
    x = 2,292,278,945.06/32,415.75
  6. Step 6: Final answer
    x = 70,714.97

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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.