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Finding the Third Proportional to 5,159.32 and 7,645.01

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Solution

The third proportional to 5,159.32 and 7,645.01 is: 11,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.32 : 7,645.01 = 7,645.01 : x
  2. Step 2: Convert to fraction form
    5,159.32/7,645.01 = 7,645.01/x
  3. Step 3: Cross multiply
    5,159.32x = 7,645.01 × 7,645.01
  4. Step 4: Simplify right side
    5,159.32x = 58,446,144.45
  5. Step 5: Solve for x
    x = 58,446,144.45/5,159.32
  6. Step 6: Final answer
    x = 11,328.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.