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Finding the Third Proportional to 20,309 and 29,599.50

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Solution

The third proportional to 20,309 and 29,599.50 is: 43,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309 : 29,599.50 = 29,599.50 : x
  2. Step 2: Convert to fraction form
    20,309/29,599.50 = 29,599.50/x
  3. Step 3: Cross multiply
    20,309x = 29,599.50 × 29,599.50
  4. Step 4: Simplify right side
    20,309x = 876,130,400.25
  5. Step 5: Solve for x
    x = 876,130,400.25/20,309
  6. Step 6: Final answer
    x = 43,140.01

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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.