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Finding the Third Proportional to 12,590.50 and 26,476.75

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Solution

The third proportional to 12,590.50 and 26,476.75 is: 55,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.50 : 26,476.75 = 26,476.75 : x
  2. Step 2: Convert to fraction form
    12,590.50/26,476.75 = 26,476.75/x
  3. Step 3: Cross multiply
    12,590.50x = 26,476.75 × 26,476.75
  4. Step 4: Simplify right side
    12,590.50x = 701,018,290.56
  5. Step 5: Solve for x
    x = 701,018,290.56/12,590.50
  6. Step 6: Final answer
    x = 55,678.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.