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Finding the Third Proportional to 1,783.13 and 3,925.69

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Solution

The third proportional to 1,783.13 and 3,925.69 is: 8,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.13 : 3,925.69 = 3,925.69 : x
  2. Step 2: Convert to fraction form
    1,783.13/3,925.69 = 3,925.69/x
  3. Step 3: Cross multiply
    1,783.13x = 3,925.69 × 3,925.69
  4. Step 4: Simplify right side
    1,783.13x = 15,411,022.35
  5. Step 5: Solve for x
    x = 15,411,022.35/1,783.13
  6. Step 6: Final answer
    x = 8,642.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.