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Finding the Third Proportional to 5,030 and 5,702

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Solution

The third proportional to 5,030 and 5,702 is: 6,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030 : 5,702 = 5,702 : x
  2. Step 2: Convert to fraction form
    5,030/5,702 = 5,702/x
  3. Step 3: Cross multiply
    5,030x = 5,702 × 5,702
  4. Step 4: Simplify right side
    5,030x = 32,512,804
  5. Step 5: Solve for x
    x = 32,512,804/5,030
  6. Step 6: Final answer
    x = 6,463.78

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.