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Finding the Third Proportional to 8,106.75 and 12,030.19

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Solution

The third proportional to 8,106.75 and 12,030.19 is: 17,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.75 : 12,030.19 = 12,030.19 : x
  2. Step 2: Convert to fraction form
    8,106.75/12,030.19 = 12,030.19/x
  3. Step 3: Cross multiply
    8,106.75x = 12,030.19 × 12,030.19
  4. Step 4: Simplify right side
    8,106.75x = 144,725,411.29
  5. Step 5: Solve for x
    x = 144,725,411.29/8,106.75
  6. Step 6: Final answer
    x = 17,852.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.