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Finding the Third Proportional to 38,907 and 90,787.50

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Solution

The third proportional to 38,907 and 90,787.50 is: 211,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907 : 90,787.50 = 90,787.50 : x
  2. Step 2: Convert to fraction form
    38,907/90,787.50 = 90,787.50/x
  3. Step 3: Cross multiply
    38,907x = 90,787.50 × 90,787.50
  4. Step 4: Simplify right side
    38,907x = 8,242,370,156.25
  5. Step 5: Solve for x
    x = 8,242,370,156.25/38,907
  6. Step 6: Final answer
    x = 211,848.00

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.