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Finding the Third Proportional to 7,046 and 8,038

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Solution

The third proportional to 7,046 and 8,038 is: 9,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046 : 8,038 = 8,038 : x
  2. Step 2: Convert to fraction form
    7,046/8,038 = 8,038/x
  3. Step 3: Cross multiply
    7,046x = 8,038 × 8,038
  4. Step 4: Simplify right side
    7,046x = 64,609,444
  5. Step 5: Solve for x
    x = 64,609,444/7,046
  6. Step 6: Final answer
    x = 9,169.66

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.