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Finding the Third Proportional to 11,607 and 25,315.50

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Solution

The third proportional to 11,607 and 25,315.50 is: 55,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607 : 25,315.50 = 25,315.50 : x
  2. Step 2: Convert to fraction form
    11,607/25,315.50 = 25,315.50/x
  3. Step 3: Cross multiply
    11,607x = 25,315.50 × 25,315.50
  4. Step 4: Simplify right side
    11,607x = 640,874,540.25
  5. Step 5: Solve for x
    x = 640,874,540.25/11,607
  6. Step 6: Final answer
    x = 55,214.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.