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Finding the Third Proportional to 10,504.75 and 22,602.75

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Solution

The third proportional to 10,504.75 and 22,602.75 is: 48,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.75 : 22,602.75 = 22,602.75 : x
  2. Step 2: Convert to fraction form
    10,504.75/22,602.75 = 22,602.75/x
  3. Step 3: Cross multiply
    10,504.75x = 22,602.75 × 22,602.75
  4. Step 4: Simplify right side
    10,504.75x = 510,884,307.56
  5. Step 5: Solve for x
    x = 510,884,307.56/10,504.75
  6. Step 6: Final answer
    x = 48,633.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.