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Finding the Third Proportional to 16,463 and 25,530.50

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Solution

The third proportional to 16,463 and 25,530.50 is: 39,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463 : 25,530.50 = 25,530.50 : x
  2. Step 2: Convert to fraction form
    16,463/25,530.50 = 25,530.50/x
  3. Step 3: Cross multiply
    16,463x = 25,530.50 × 25,530.50
  4. Step 4: Simplify right side
    16,463x = 651,806,430.25
  5. Step 5: Solve for x
    x = 651,806,430.25/16,463
  6. Step 6: Final answer
    x = 39,592.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.