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Finding the Third Proportional to 25,788 and 56,272

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Solution

The third proportional to 25,788 and 56,272 is: 122,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,788 : 56,272 = 56,272 : x
  2. Step 2: Convert to fraction form
    25,788/56,272 = 56,272/x
  3. Step 3: Cross multiply
    25,788x = 56,272 × 56,272
  4. Step 4: Simplify right side
    25,788x = 3,166,537,984
  5. Step 5: Solve for x
    x = 3,166,537,984/25,788
  6. Step 6: Final answer
    x = 122,791.14

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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.