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Finding the Third Proportional to 884.53 and 1,010.53

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Solution

The third proportional to 884.53 and 1,010.53 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.53 : 1,010.53 = 1,010.53 : x
  2. Step 2: Convert to fraction form
    884.53/1,010.53 = 1,010.53/x
  3. Step 3: Cross multiply
    884.53x = 1,010.53 × 1,010.53
  4. Step 4: Simplify right side
    884.53x = 1,021,173.41
  5. Step 5: Solve for x
    x = 1,021,173.41/884.53
  6. Step 6: Final answer
    x = 1,154.48

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.