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Finding the Third Proportional to 6,038 and 7,953

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Solution

The third proportional to 6,038 and 7,953 is: 10,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038 : 7,953 = 7,953 : x
  2. Step 2: Convert to fraction form
    6,038/7,953 = 7,953/x
  3. Step 3: Cross multiply
    6,038x = 7,953 × 7,953
  4. Step 4: Simplify right side
    6,038x = 63,250,209
  5. Step 5: Solve for x
    x = 63,250,209/6,038
  6. Step 6: Final answer
    x = 10,475.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.