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Finding the Third Proportional to 9,484.25 and 19,967.50

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Solution

The third proportional to 9,484.25 and 19,967.50 is: 42,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.25 : 19,967.50 = 19,967.50 : x
  2. Step 2: Convert to fraction form
    9,484.25/19,967.50 = 19,967.50/x
  3. Step 3: Cross multiply
    9,484.25x = 19,967.50 × 19,967.50
  4. Step 4: Simplify right side
    9,484.25x = 398,701,056.25
  5. Step 5: Solve for x
    x = 398,701,056.25/9,484.25
  6. Step 6: Final answer
    x = 42,038.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.