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Finding the Third Proportional to 16,989 and 25,971.50

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Solution

The third proportional to 16,989 and 25,971.50 is: 39,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,989 : 25,971.50 = 25,971.50 : x
  2. Step 2: Convert to fraction form
    16,989/25,971.50 = 25,971.50/x
  3. Step 3: Cross multiply
    16,989x = 25,971.50 × 25,971.50
  4. Step 4: Simplify right side
    16,989x = 674,518,812.25
  5. Step 5: Solve for x
    x = 674,518,812.25/16,989
  6. Step 6: Final answer
    x = 39,703.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.