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Finding the Third Proportional to 8,966.06 and 18,328.13

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Solution

The third proportional to 8,966.06 and 18,328.13 is: 37,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.06 : 18,328.13 = 18,328.13 : x
  2. Step 2: Convert to fraction form
    8,966.06/18,328.13 = 18,328.13/x
  3. Step 3: Cross multiply
    8,966.06x = 18,328.13 × 18,328.13
  4. Step 4: Simplify right side
    8,966.06x = 335,920,166.02
  5. Step 5: Solve for x
    x = 335,920,166.02/8,966.06
  6. Step 6: Final answer
    x = 37,465.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.