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Finding the Third Proportional to 25,253 and 53,044

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Solution

The third proportional to 25,253 and 53,044 is: 111,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,253 : 53,044 = 53,044 : x
  2. Step 2: Convert to fraction form
    25,253/53,044 = 53,044/x
  3. Step 3: Cross multiply
    25,253x = 53,044 × 53,044
  4. Step 4: Simplify right side
    25,253x = 2,813,665,936
  5. Step 5: Solve for x
    x = 2,813,665,936/25,253
  6. Step 6: Final answer
    x = 111,419.08

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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.