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Finding the Third Proportional to 29,784 and 62,689.50

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Solution

The third proportional to 29,784 and 62,689.50 is: 131,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784 : 62,689.50 = 62,689.50 : x
  2. Step 2: Convert to fraction form
    29,784/62,689.50 = 62,689.50/x
  3. Step 3: Cross multiply
    29,784x = 62,689.50 × 62,689.50
  4. Step 4: Simplify right side
    29,784x = 3,929,973,410.25
  5. Step 5: Solve for x
    x = 3,929,973,410.25/29,784
  6. Step 6: Final answer
    x = 131,949.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.