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Finding the Third Proportional to 29,703 and 39,100.50

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Solution

The third proportional to 29,703 and 39,100.50 is: 51,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703 : 39,100.50 = 39,100.50 : x
  2. Step 2: Convert to fraction form
    29,703/39,100.50 = 39,100.50/x
  3. Step 3: Cross multiply
    29,703x = 39,100.50 × 39,100.50
  4. Step 4: Simplify right side
    29,703x = 1,528,849,100.25
  5. Step 5: Solve for x
    x = 1,528,849,100.25/29,703
  6. Step 6: Final answer
    x = 51,471.20

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.