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Finding the Third Proportional to 7,029 and 14,836.50

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Solution

The third proportional to 7,029 and 14,836.50 is: 31,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029 : 14,836.50 = 14,836.50 : x
  2. Step 2: Convert to fraction form
    7,029/14,836.50 = 14,836.50/x
  3. Step 3: Cross multiply
    7,029x = 14,836.50 × 14,836.50
  4. Step 4: Simplify right side
    7,029x = 220,121,732.25
  5. Step 5: Solve for x
    x = 220,121,732.25/7,029
  6. Step 6: Final answer
    x = 31,316.22

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.