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Finding the Third Proportional to 6,432.75 and 15,548.63

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Solution

The third proportional to 6,432.75 and 15,548.63 is: 37,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.75 : 15,548.63 = 15,548.63 : x
  2. Step 2: Convert to fraction form
    6,432.75/15,548.63 = 15,548.63/x
  3. Step 3: Cross multiply
    6,432.75x = 15,548.63 × 15,548.63
  4. Step 4: Simplify right side
    6,432.75x = 241,759,739.39
  5. Step 5: Solve for x
    x = 241,759,739.39/6,432.75
  6. Step 6: Final answer
    x = 37,582.64

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.