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Finding the Third Proportional to 4,720 and 10,288

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Solution

The third proportional to 4,720 and 10,288 is: 22,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720 : 10,288 = 10,288 : x
  2. Step 2: Convert to fraction form
    4,720/10,288 = 10,288/x
  3. Step 3: Cross multiply
    4,720x = 10,288 × 10,288
  4. Step 4: Simplify right side
    4,720x = 105,842,944
  5. Step 5: Solve for x
    x = 105,842,944/4,720
  6. Step 6: Final answer
    x = 22,424.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.