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Finding the Third Proportional to 31,111.75 and 47,848.25

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Solution

The third proportional to 31,111.75 and 47,848.25 is: 73,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.75 : 47,848.25 = 47,848.25 : x
  2. Step 2: Convert to fraction form
    31,111.75/47,848.25 = 47,848.25/x
  3. Step 3: Cross multiply
    31,111.75x = 47,848.25 × 47,848.25
  4. Step 4: Simplify right side
    31,111.75x = 2,289,455,028.06
  5. Step 5: Solve for x
    x = 2,289,455,028.06/31,111.75
  6. Step 6: Final answer
    x = 73,588.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.