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Finding the Third Proportional to 10,296.44 and 22,597.63

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Solution

The third proportional to 10,296.44 and 22,597.63 is: 49,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.44 : 22,597.63 = 22,597.63 : x
  2. Step 2: Convert to fraction form
    10,296.44/22,597.63 = 22,597.63/x
  3. Step 3: Cross multiply
    10,296.44x = 22,597.63 × 22,597.63
  4. Step 4: Simplify right side
    10,296.44x = 510,652,655.64
  5. Step 5: Solve for x
    x = 510,652,655.64/10,296.44
  6. Step 6: Final answer
    x = 49,595.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.