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Finding the Third Proportional to 8,484 and 18,061.50

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Solution

The third proportional to 8,484 and 18,061.50 is: 38,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484 : 18,061.50 = 18,061.50 : x
  2. Step 2: Convert to fraction form
    8,484/18,061.50 = 18,061.50/x
  3. Step 3: Cross multiply
    8,484x = 18,061.50 × 18,061.50
  4. Step 4: Simplify right side
    8,484x = 326,217,782.25
  5. Step 5: Solve for x
    x = 326,217,782.25/8,484
  6. Step 6: Final answer
    x = 38,450.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.