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Finding the Third Proportional to 32,106.75 and 51,133.13

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Solution

The third proportional to 32,106.75 and 51,133.13 is: 81,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.75 : 51,133.13 = 51,133.13 : x
  2. Step 2: Convert to fraction form
    32,106.75/51,133.13 = 51,133.13/x
  3. Step 3: Cross multiply
    32,106.75x = 51,133.13 × 51,133.13
  4. Step 4: Simplify right side
    32,106.75x = 2,614,596,472.27
  5. Step 5: Solve for x
    x = 2,614,596,472.27/32,106.75
  6. Step 6: Final answer
    x = 81,434.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.