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Finding the Third Proportional to 31,587 and 68,094.50

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Solution

The third proportional to 31,587 and 68,094.50 is: 146,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587 : 68,094.50 = 68,094.50 : x
  2. Step 2: Convert to fraction form
    31,587/68,094.50 = 68,094.50/x
  3. Step 3: Cross multiply
    31,587x = 68,094.50 × 68,094.50
  4. Step 4: Simplify right side
    31,587x = 4,636,860,930.25
  5. Step 5: Solve for x
    x = 4,636,860,930.25/31,587
  6. Step 6: Final answer
    x = 146,796.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.