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Finding the Third Proportional to 6,339.75 and 9,509.63

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Solution

The third proportional to 6,339.75 and 9,509.63 is: 14,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.75 : 9,509.63 = 9,509.63 : x
  2. Step 2: Convert to fraction form
    6,339.75/9,509.63 = 9,509.63/x
  3. Step 3: Cross multiply
    6,339.75x = 9,509.63 × 9,509.63
  4. Step 4: Simplify right side
    6,339.75x = 90,432,967.64
  5. Step 5: Solve for x
    x = 90,432,967.64/6,339.75
  6. Step 6: Final answer
    x = 14,264.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.