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Finding the Third Proportional to 8,124.19 and 11,878.59

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Solution

The third proportional to 8,124.19 and 11,878.59 is: 17,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.19 : 11,878.59 = 11,878.59 : x
  2. Step 2: Convert to fraction form
    8,124.19/11,878.59 = 11,878.59/x
  3. Step 3: Cross multiply
    8,124.19x = 11,878.59 × 11,878.59
  4. Step 4: Simplify right side
    8,124.19x = 141,100,989.48
  5. Step 5: Solve for x
    x = 141,100,989.48/8,124.19
  6. Step 6: Final answer
    x = 17,368.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.