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Finding the Third Proportional to 1,598.48 and 3,419.02

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Solution

The third proportional to 1,598.48 and 3,419.02 is: 7,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.48 : 3,419.02 = 3,419.02 : x
  2. Step 2: Convert to fraction form
    1,598.48/3,419.02 = 3,419.02/x
  3. Step 3: Cross multiply
    1,598.48x = 3,419.02 × 3,419.02
  4. Step 4: Simplify right side
    1,598.48x = 11,689,667.84
  5. Step 5: Solve for x
    x = 11,689,667.84/1,598.48
  6. Step 6: Final answer
    x = 7,312.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.