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Finding the Third Proportional to 10,575.56 and 22,973.63

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Solution

The third proportional to 10,575.56 and 22,973.63 is: 49,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.56 : 22,973.63 = 22,973.63 : x
  2. Step 2: Convert to fraction form
    10,575.56/22,973.63 = 22,973.63/x
  3. Step 3: Cross multiply
    10,575.56x = 22,973.63 × 22,973.63
  4. Step 4: Simplify right side
    10,575.56x = 527,787,445.64
  5. Step 5: Solve for x
    x = 527,787,445.64/10,575.56
  6. Step 6: Final answer
    x = 49,906.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.