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Finding the Third Proportional to 7,038 and 7,645.50

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Solution

The third proportional to 7,038 and 7,645.50 is: 8,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038 : 7,645.50 = 7,645.50 : x
  2. Step 2: Convert to fraction form
    7,038/7,645.50 = 7,645.50/x
  3. Step 3: Cross multiply
    7,038x = 7,645.50 × 7,645.50
  4. Step 4: Simplify right side
    7,038x = 58,453,670.25
  5. Step 5: Solve for x
    x = 58,453,670.25/7,038
  6. Step 6: Final answer
    x = 8,305.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.