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Finding the Third Proportional to 43,809 and 64,156.50

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Solution

The third proportional to 43,809 and 64,156.50 is: 93,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,809 : 64,156.50 = 64,156.50 : x
  2. Step 2: Convert to fraction form
    43,809/64,156.50 = 64,156.50/x
  3. Step 3: Cross multiply
    43,809x = 64,156.50 × 64,156.50
  4. Step 4: Simplify right side
    43,809x = 4,116,056,492.25
  5. Step 5: Solve for x
    x = 4,116,056,492.25/43,809
  6. Step 6: Final answer
    x = 93,954.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.