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Finding the Third Proportional to 1,592.79 and 2,336.98

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Solution

The third proportional to 1,592.79 and 2,336.98 is: 3,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.79 : 2,336.98 = 2,336.98 : x
  2. Step 2: Convert to fraction form
    1,592.79/2,336.98 = 2,336.98/x
  3. Step 3: Cross multiply
    1,592.79x = 2,336.98 × 2,336.98
  4. Step 4: Simplify right side
    1,592.79x = 5,461,459.45
  5. Step 5: Solve for x
    x = 5,461,459.45/1,592.79
  6. Step 6: Final answer
    x = 3,428.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.