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Finding the Third Proportional to 7,835.06 and 16,809.19

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Solution

The third proportional to 7,835.06 and 16,809.19 is: 36,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.06 : 16,809.19 = 16,809.19 : x
  2. Step 2: Convert to fraction form
    7,835.06/16,809.19 = 16,809.19/x
  3. Step 3: Cross multiply
    7,835.06x = 16,809.19 × 16,809.19
  4. Step 4: Simplify right side
    7,835.06x = 282,548,784.41
  5. Step 5: Solve for x
    x = 282,548,784.41/7,835.06
  6. Step 6: Final answer
    x = 36,062.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.