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Finding the Third Proportional to 9,573.45 and 21,036.80

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Solution

The third proportional to 9,573.45 and 21,036.80 is: 46,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.45 : 21,036.80 = 21,036.80 : x
  2. Step 2: Convert to fraction form
    9,573.45/21,036.80 = 21,036.80/x
  3. Step 3: Cross multiply
    9,573.45x = 21,036.80 × 21,036.80
  4. Step 4: Simplify right side
    9,573.45x = 442,546,822.76
  5. Step 5: Solve for x
    x = 442,546,822.76/9,573.45
  6. Step 6: Final answer
    x = 46,226.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.