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Finding the Third Proportional to 2,373.47 and 3,595.64

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Solution

The third proportional to 2,373.47 and 3,595.64 is: 5,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.47 : 3,595.64 = 3,595.64 : x
  2. Step 2: Convert to fraction form
    2,373.47/3,595.64 = 3,595.64/x
  3. Step 3: Cross multiply
    2,373.47x = 3,595.64 × 3,595.64
  4. Step 4: Simplify right side
    2,373.47x = 12,928,631.50
  5. Step 5: Solve for x
    x = 12,928,631.50/2,373.47
  6. Step 6: Final answer
    x = 5,447.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.