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Finding the Third Proportional to 15,332.63 and 31,245.94

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Solution

The third proportional to 15,332.63 and 31,245.94 is: 63,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,332.63 : 31,245.94 = 31,245.94 : x
  2. Step 2: Convert to fraction form
    15,332.63/31,245.94 = 31,245.94/x
  3. Step 3: Cross multiply
    15,332.63x = 31,245.94 × 31,245.94
  4. Step 4: Simplify right side
    15,332.63x = 976,308,610.25
  5. Step 5: Solve for x
    x = 976,308,610.25/15,332.63
  6. Step 6: Final answer
    x = 63,675.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.