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Finding the Third Proportional to 4,747 and 6,300.50

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Solution

The third proportional to 4,747 and 6,300.50 is: 8,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747 : 6,300.50 = 6,300.50 : x
  2. Step 2: Convert to fraction form
    4,747/6,300.50 = 6,300.50/x
  3. Step 3: Cross multiply
    4,747x = 6,300.50 × 6,300.50
  4. Step 4: Simplify right side
    4,747x = 39,696,300.25
  5. Step 5: Solve for x
    x = 39,696,300.25/4,747
  6. Step 6: Final answer
    x = 8,362.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.