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Finding the Third Proportional to 15,006.75 and 27,871.50

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Solution

The third proportional to 15,006.75 and 27,871.50 is: 51,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.75 : 27,871.50 = 27,871.50 : x
  2. Step 2: Convert to fraction form
    15,006.75/27,871.50 = 27,871.50/x
  3. Step 3: Cross multiply
    15,006.75x = 27,871.50 × 27,871.50
  4. Step 4: Simplify right side
    15,006.75x = 776,820,512.25
  5. Step 5: Solve for x
    x = 776,820,512.25/15,006.75
  6. Step 6: Final answer
    x = 51,764.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.