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Finding the Third Proportional to 1,312.66 and 1,835.26

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Solution

The third proportional to 1,312.66 and 1,835.26 is: 2,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.66 : 1,835.26 = 1,835.26 : x
  2. Step 2: Convert to fraction form
    1,312.66/1,835.26 = 1,835.26/x
  3. Step 3: Cross multiply
    1,312.66x = 1,835.26 × 1,835.26
  4. Step 4: Simplify right side
    1,312.66x = 3,368,185.58
  5. Step 5: Solve for x
    x = 3,368,185.58/1,312.66
  6. Step 6: Final answer
    x = 2,565.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.