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Finding the Third Proportional to 4,298 and 4,703

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Solution

The third proportional to 4,298 and 4,703 is: 5,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298 : 4,703 = 4,703 : x
  2. Step 2: Convert to fraction form
    4,298/4,703 = 4,703/x
  3. Step 3: Cross multiply
    4,298x = 4,703 × 4,703
  4. Step 4: Simplify right side
    4,298x = 22,118,209
  5. Step 5: Solve for x
    x = 22,118,209/4,298
  6. Step 6: Final answer
    x = 5,146.16

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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.