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Finding the Third Proportional to 945.84 and 1,496.53

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Solution

The third proportional to 945.84 and 1,496.53 is: 2,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.84 : 1,496.53 = 1,496.53 : x
  2. Step 2: Convert to fraction form
    945.84/1,496.53 = 1,496.53/x
  3. Step 3: Cross multiply
    945.84x = 1,496.53 × 1,496.53
  4. Step 4: Simplify right side
    945.84x = 2,239,605.78
  5. Step 5: Solve for x
    x = 2,239,605.78/945.84
  6. Step 6: Final answer
    x = 2,367.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.