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Finding the Third Proportional to 1,596 and 2,465.63

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Solution

The third proportional to 1,596 and 2,465.63 is: 3,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596 : 2,465.63 = 2,465.63 : x
  2. Step 2: Convert to fraction form
    1,596/2,465.63 = 2,465.63/x
  3. Step 3: Cross multiply
    1,596x = 2,465.63 × 2,465.63
  4. Step 4: Simplify right side
    1,596x = 6,079,306.64
  5. Step 5: Solve for x
    x = 6,079,306.64/1,596
  6. Step 6: Final answer
    x = 3,809.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.