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Finding the Third Proportional to 12,573.35 and 26,645.52

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Solution

The third proportional to 12,573.35 and 26,645.52 is: 56,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.35 : 26,645.52 = 26,645.52 : x
  2. Step 2: Convert to fraction form
    12,573.35/26,645.52 = 26,645.52/x
  3. Step 3: Cross multiply
    12,573.35x = 26,645.52 × 26,645.52
  4. Step 4: Simplify right side
    12,573.35x = 709,983,711.09
  5. Step 5: Solve for x
    x = 709,983,711.09/12,573.35
  6. Step 6: Final answer
    x = 56,467.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.