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Finding the Third Proportional to 1,465.59 and 2,137.64

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Solution

The third proportional to 1,465.59 and 2,137.64 is: 3,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.59 : 2,137.64 = 2,137.64 : x
  2. Step 2: Convert to fraction form
    1,465.59/2,137.64 = 2,137.64/x
  3. Step 3: Cross multiply
    1,465.59x = 2,137.64 × 2,137.64
  4. Step 4: Simplify right side
    1,465.59x = 4,569,507.44
  5. Step 5: Solve for x
    x = 4,569,507.44/1,465.59
  6. Step 6: Final answer
    x = 3,117.85

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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.