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Finding the Third Proportional to 12,945.38 and 28,312.88

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Solution

The third proportional to 12,945.38 and 28,312.88 is: 61,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.38 : 28,312.88 = 28,312.88 : x
  2. Step 2: Convert to fraction form
    12,945.38/28,312.88 = 28,312.88/x
  3. Step 3: Cross multiply
    12,945.38x = 28,312.88 × 28,312.88
  4. Step 4: Simplify right side
    12,945.38x = 801,618,890.77
  5. Step 5: Solve for x
    x = 801,618,890.77/12,945.38
  6. Step 6: Final answer
    x = 61,923.19

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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.