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Finding the Third Proportional to 4,130 and 6,352

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Solution

The third proportional to 4,130 and 6,352 is: 9,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130 : 6,352 = 6,352 : x
  2. Step 2: Convert to fraction form
    4,130/6,352 = 6,352/x
  3. Step 3: Cross multiply
    4,130x = 6,352 × 6,352
  4. Step 4: Simplify right side
    4,130x = 40,347,904
  5. Step 5: Solve for x
    x = 40,347,904/4,130
  6. Step 6: Final answer
    x = 9,769.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.