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Finding the Third Proportional to 2,108.53 and 2,307.23

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Solution

The third proportional to 2,108.53 and 2,307.23 is: 2,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.53 : 2,307.23 = 2,307.23 : x
  2. Step 2: Convert to fraction form
    2,108.53/2,307.23 = 2,307.23/x
  3. Step 3: Cross multiply
    2,108.53x = 2,307.23 × 2,307.23
  4. Step 4: Simplify right side
    2,108.53x = 5,323,330.46
  5. Step 5: Solve for x
    x = 5,323,330.46/2,108.53
  6. Step 6: Final answer
    x = 2,524.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.