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Finding the Third Proportional to 1,523.63 and 2,275.47

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Solution

The third proportional to 1,523.63 and 2,275.47 is: 3,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.63 : 2,275.47 = 2,275.47 : x
  2. Step 2: Convert to fraction form
    1,523.63/2,275.47 = 2,275.47/x
  3. Step 3: Cross multiply
    1,523.63x = 2,275.47 × 2,275.47
  4. Step 4: Simplify right side
    1,523.63x = 5,177,758.03
  5. Step 5: Solve for x
    x = 5,177,758.03/1,523.63
  6. Step 6: Final answer
    x = 3,398.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.