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Finding the Third Proportional to 25,437 and 55,693.50

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Solution

The third proportional to 25,437 and 55,693.50 is: 121,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,437 : 55,693.50 = 55,693.50 : x
  2. Step 2: Convert to fraction form
    25,437/55,693.50 = 55,693.50/x
  3. Step 3: Cross multiply
    25,437x = 55,693.50 × 55,693.50
  4. Step 4: Simplify right side
    25,437x = 3,101,765,942.25
  5. Step 5: Solve for x
    x = 3,101,765,942.25/25,437
  6. Step 6: Final answer
    x = 121,939.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.