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Finding the Third Proportional to 19,651.50 and 34,807.50

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Solution

The third proportional to 19,651.50 and 34,807.50 is: 61,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651.50 : 34,807.50 = 34,807.50 : x
  2. Step 2: Convert to fraction form
    19,651.50/34,807.50 = 34,807.50/x
  3. Step 3: Cross multiply
    19,651.50x = 34,807.50 × 34,807.50
  4. Step 4: Simplify right side
    19,651.50x = 1,211,562,056.25
  5. Step 5: Solve for x
    x = 1,211,562,056.25/19,651.50
  6. Step 6: Final answer
    x = 61,652.40

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.