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Finding the Third Proportional to 27,848.25 and 58,612.50

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Solution

The third proportional to 27,848.25 and 58,612.50 is: 123,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848.25 : 58,612.50 = 58,612.50 : x
  2. Step 2: Convert to fraction form
    27,848.25/58,612.50 = 58,612.50/x
  3. Step 3: Cross multiply
    27,848.25x = 58,612.50 × 58,612.50
  4. Step 4: Simplify right side
    27,848.25x = 3,435,425,156.25
  5. Step 5: Solve for x
    x = 3,435,425,156.25/27,848.25
  6. Step 6: Final answer
    x = 123,362.34

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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.