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Finding the Third Proportional to 19,117.50 and 44,447

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Solution

The third proportional to 19,117.50 and 44,447 is: 103,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,117.50 : 44,447 = 44,447 : x
  2. Step 2: Convert to fraction form
    19,117.50/44,447 = 44,447/x
  3. Step 3: Cross multiply
    19,117.50x = 44,447 × 44,447
  4. Step 4: Simplify right side
    19,117.50x = 1,975,535,809
  5. Step 5: Solve for x
    x = 1,975,535,809/19,117.50
  6. Step 6: Final answer
    x = 103,336.51

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.