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Finding the Third Proportional to 35,585.44 and 53,279.44

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Solution

The third proportional to 35,585.44 and 53,279.44 is: 79,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,585.44 : 53,279.44 = 53,279.44 : x
  2. Step 2: Convert to fraction form
    35,585.44/53,279.44 = 53,279.44/x
  3. Step 3: Cross multiply
    35,585.44x = 53,279.44 × 53,279.44
  4. Step 4: Simplify right side
    35,585.44x = 2,838,698,460.32
  5. Step 5: Solve for x
    x = 2,838,698,460.32/35,585.44
  6. Step 6: Final answer
    x = 79,771.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.