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Finding the Third Proportional to 14,823 and 23,464.50

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Solution

The third proportional to 14,823 and 23,464.50 is: 37,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823 : 23,464.50 = 23,464.50 : x
  2. Step 2: Convert to fraction form
    14,823/23,464.50 = 23,464.50/x
  3. Step 3: Cross multiply
    14,823x = 23,464.50 × 23,464.50
  4. Step 4: Simplify right side
    14,823x = 550,582,760.25
  5. Step 5: Solve for x
    x = 550,582,760.25/14,823
  6. Step 6: Final answer
    x = 37,143.81

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.