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Finding the Third Proportional to 25,503 and 39,586.50

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Solution

The third proportional to 25,503 and 39,586.50 is: 61,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,503 : 39,586.50 = 39,586.50 : x
  2. Step 2: Convert to fraction form
    25,503/39,586.50 = 39,586.50/x
  3. Step 3: Cross multiply
    25,503x = 39,586.50 × 39,586.50
  4. Step 4: Simplify right side
    25,503x = 1,567,090,982.25
  5. Step 5: Solve for x
    x = 1,567,090,982.25/25,503
  6. Step 6: Final answer
    x = 61,447.32

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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.