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Finding the Third Proportional to 19,735 and 30,007.50

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Solution

The third proportional to 19,735 and 30,007.50 is: 45,627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735 : 30,007.50 = 30,007.50 : x
  2. Step 2: Convert to fraction form
    19,735/30,007.50 = 30,007.50/x
  3. Step 3: Cross multiply
    19,735x = 30,007.50 × 30,007.50
  4. Step 4: Simplify right side
    19,735x = 900,450,056.25
  5. Step 5: Solve for x
    x = 900,450,056.25/19,735
  6. Step 6: Final answer
    x = 45,627.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.