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Finding the Third Proportional to 815.06 and 1,783.88

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Solution

The third proportional to 815.06 and 1,783.88 is: 3,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.06 : 1,783.88 = 1,783.88 : x
  2. Step 2: Convert to fraction form
    815.06/1,783.88 = 1,783.88/x
  3. Step 3: Cross multiply
    815.06x = 1,783.88 × 1,783.88
  4. Step 4: Simplify right side
    815.06x = 3,182,210.02
  5. Step 5: Solve for x
    x = 3,182,210.02/815.06
  6. Step 6: Final answer
    x = 3,904.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.