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Finding the Third Proportional to 23,292.56 and 36,322.80

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Solution

The third proportional to 23,292.56 and 36,322.80 is: 56,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,292.56 : 36,322.80 = 36,322.80 : x
  2. Step 2: Convert to fraction form
    23,292.56/36,322.80 = 36,322.80/x
  3. Step 3: Cross multiply
    23,292.56x = 36,322.80 × 36,322.80
  4. Step 4: Simplify right side
    23,292.56x = 1,319,346,140.37
  5. Step 5: Solve for x
    x = 1,319,346,140.37/23,292.56
  6. Step 6: Final answer
    x = 56,642.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.