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Finding the Third Proportional to 5,306 and 6,050

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Solution

The third proportional to 5,306 and 6,050 is: 6,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306 : 6,050 = 6,050 : x
  2. Step 2: Convert to fraction form
    5,306/6,050 = 6,050/x
  3. Step 3: Cross multiply
    5,306x = 6,050 × 6,050
  4. Step 4: Simplify right side
    5,306x = 36,602,500
  5. Step 5: Solve for x
    x = 36,602,500/5,306
  6. Step 6: Final answer
    x = 6,898.32

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.