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Finding the Third Proportional to 43,029 and 64,084.50

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Solution

The third proportional to 43,029 and 64,084.50 is: 95,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,029 : 64,084.50 = 64,084.50 : x
  2. Step 2: Convert to fraction form
    43,029/64,084.50 = 64,084.50/x
  3. Step 3: Cross multiply
    43,029x = 64,084.50 × 64,084.50
  4. Step 4: Simplify right side
    43,029x = 4,106,823,140.25
  5. Step 5: Solve for x
    x = 4,106,823,140.25/43,029
  6. Step 6: Final answer
    x = 95,443.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.