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Finding the Third Proportional to 15,006.75 and 32,139.75

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Solution

The third proportional to 15,006.75 and 32,139.75 is: 68,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.75 : 32,139.75 = 32,139.75 : x
  2. Step 2: Convert to fraction form
    15,006.75/32,139.75 = 32,139.75/x
  3. Step 3: Cross multiply
    15,006.75x = 32,139.75 × 32,139.75
  4. Step 4: Simplify right side
    15,006.75x = 1,032,963,530.06
  5. Step 5: Solve for x
    x = 1,032,963,530.06/15,006.75
  6. Step 6: Final answer
    x = 68,833.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.