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Finding the Third Proportional to 4,725.28 and 6,951.02

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Solution

The third proportional to 4,725.28 and 6,951.02 is: 10,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.28 : 6,951.02 = 6,951.02 : x
  2. Step 2: Convert to fraction form
    4,725.28/6,951.02 = 6,951.02/x
  3. Step 3: Cross multiply
    4,725.28x = 6,951.02 × 6,951.02
  4. Step 4: Simplify right side
    4,725.28x = 48,316,726.83
  5. Step 5: Solve for x
    x = 48,316,726.83/4,725.28
  6. Step 6: Final answer
    x = 10,225.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.