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Finding the Third Proportional to 1,434.09 and 1,929.94

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Solution

The third proportional to 1,434.09 and 1,929.94 is: 2,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.09 : 1,929.94 = 1,929.94 : x
  2. Step 2: Convert to fraction form
    1,434.09/1,929.94 = 1,929.94/x
  3. Step 3: Cross multiply
    1,434.09x = 1,929.94 × 1,929.94
  4. Step 4: Simplify right side
    1,434.09x = 3,724,658.75
  5. Step 5: Solve for x
    x = 3,724,658.75/1,434.09
  6. Step 6: Final answer
    x = 2,597.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.