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Finding the Third Proportional to 15,447 and 23,176.50

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Solution

The third proportional to 15,447 and 23,176.50 is: 34,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447 : 23,176.50 = 23,176.50 : x
  2. Step 2: Convert to fraction form
    15,447/23,176.50 = 23,176.50/x
  3. Step 3: Cross multiply
    15,447x = 23,176.50 × 23,176.50
  4. Step 4: Simplify right side
    15,447x = 537,150,152.25
  5. Step 5: Solve for x
    x = 537,150,152.25/15,447
  6. Step 6: Final answer
    x = 34,773.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.