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Finding the Third Proportional to 653.13 and 1,401.13

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Solution

The third proportional to 653.13 and 1,401.13 is: 3,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.13 : 1,401.13 = 1,401.13 : x
  2. Step 2: Convert to fraction form
    653.13/1,401.13 = 1,401.13/x
  3. Step 3: Cross multiply
    653.13x = 1,401.13 × 1,401.13
  4. Step 4: Simplify right side
    653.13x = 1,963,151.27
  5. Step 5: Solve for x
    x = 1,963,151.27/653.13
  6. Step 6: Final answer
    x = 3,005.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.