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Finding the Third Proportional to 1,783.69 and 2,611.13

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Solution

The third proportional to 1,783.69 and 2,611.13 is: 3,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.69 : 2,611.13 = 2,611.13 : x
  2. Step 2: Convert to fraction form
    1,783.69/2,611.13 = 2,611.13/x
  3. Step 3: Cross multiply
    1,783.69x = 2,611.13 × 2,611.13
  4. Step 4: Simplify right side
    1,783.69x = 6,817,973.77
  5. Step 5: Solve for x
    x = 6,817,973.77/1,783.69
  6. Step 6: Final answer
    x = 3,822.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.