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Finding the Third Proportional to 10,467 and 24,688.50

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Solution

The third proportional to 10,467 and 24,688.50 is: 58,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467 : 24,688.50 = 24,688.50 : x
  2. Step 2: Convert to fraction form
    10,467/24,688.50 = 24,688.50/x
  3. Step 3: Cross multiply
    10,467x = 24,688.50 × 24,688.50
  4. Step 4: Simplify right side
    10,467x = 609,522,032.25
  5. Step 5: Solve for x
    x = 609,522,032.25/10,467
  6. Step 6: Final answer
    x = 58,232.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.