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Finding the Third Proportional to 4,301 and 5,803

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Solution

The third proportional to 4,301 and 5,803 is: 7,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301 : 5,803 = 5,803 : x
  2. Step 2: Convert to fraction form
    4,301/5,803 = 5,803/x
  3. Step 3: Cross multiply
    4,301x = 5,803 × 5,803
  4. Step 4: Simplify right side
    4,301x = 33,674,809
  5. Step 5: Solve for x
    x = 33,674,809/4,301
  6. Step 6: Final answer
    x = 7,829.53

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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.