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Finding the Third Proportional to 1,265.63 and 2,632.08

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Solution

The third proportional to 1,265.63 and 2,632.08 is: 5,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.63 : 2,632.08 = 2,632.08 : x
  2. Step 2: Convert to fraction form
    1,265.63/2,632.08 = 2,632.08/x
  3. Step 3: Cross multiply
    1,265.63x = 2,632.08 × 2,632.08
  4. Step 4: Simplify right side
    1,265.63x = 6,927,835.26
  5. Step 5: Solve for x
    x = 6,927,835.26/1,265.63
  6. Step 6: Final answer
    x = 5,473.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.