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Finding the Third Proportional to 32,203.13 and 49,527

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Solution

The third proportional to 32,203.13 and 49,527 is: 76,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.13 : 49,527 = 49,527 : x
  2. Step 2: Convert to fraction form
    32,203.13/49,527 = 49,527/x
  3. Step 3: Cross multiply
    32,203.13x = 49,527 × 49,527
  4. Step 4: Simplify right side
    32,203.13x = 2,452,923,729
  5. Step 5: Solve for x
    x = 2,452,923,729/32,203.13
  6. Step 6: Final answer
    x = 76,170.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.