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Finding the Third Proportional to 43,285 and 64,927.50

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Solution

The third proportional to 43,285 and 64,927.50 is: 97,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,285 : 64,927.50 = 64,927.50 : x
  2. Step 2: Convert to fraction form
    43,285/64,927.50 = 64,927.50/x
  3. Step 3: Cross multiply
    43,285x = 64,927.50 × 64,927.50
  4. Step 4: Simplify right side
    43,285x = 4,215,580,256.25
  5. Step 5: Solve for x
    x = 4,215,580,256.25/43,285
  6. Step 6: Final answer
    x = 97,391.25

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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.