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Finding the Third Proportional to 7,853 and 9,053

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Solution

The third proportional to 7,853 and 9,053 is: 10,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853 : 9,053 = 9,053 : x
  2. Step 2: Convert to fraction form
    7,853/9,053 = 9,053/x
  3. Step 3: Cross multiply
    7,853x = 9,053 × 9,053
  4. Step 4: Simplify right side
    7,853x = 81,956,809
  5. Step 5: Solve for x
    x = 81,956,809/7,853
  6. Step 6: Final answer
    x = 10,436.37

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.