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Finding the Third Proportional to 25,386.50 and 55,010

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Solution

The third proportional to 25,386.50 and 55,010 is: 119,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,386.50 : 55,010 = 55,010 : x
  2. Step 2: Convert to fraction form
    25,386.50/55,010 = 55,010/x
  3. Step 3: Cross multiply
    25,386.50x = 55,010 × 55,010
  4. Step 4: Simplify right side
    25,386.50x = 3,026,100,100
  5. Step 5: Solve for x
    x = 3,026,100,100/25,386.50
  6. Step 6: Final answer
    x = 119,201.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.