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Finding the Third Proportional to 1,499.63 and 3,095.72

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Solution

The third proportional to 1,499.63 and 3,095.72 is: 6,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.63 : 3,095.72 = 3,095.72 : x
  2. Step 2: Convert to fraction form
    1,499.63/3,095.72 = 3,095.72/x
  3. Step 3: Cross multiply
    1,499.63x = 3,095.72 × 3,095.72
  4. Step 4: Simplify right side
    1,499.63x = 9,583,474.58
  5. Step 5: Solve for x
    x = 9,583,474.58/1,499.63
  6. Step 6: Final answer
    x = 6,390.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.