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Finding the Third Proportional to 21,240 and 57,784.50

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Solution

The third proportional to 21,240 and 57,784.50 is: 157,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,240 : 57,784.50 = 57,784.50 : x
  2. Step 2: Convert to fraction form
    21,240/57,784.50 = 57,784.50/x
  3. Step 3: Cross multiply
    21,240x = 57,784.50 × 57,784.50
  4. Step 4: Simplify right side
    21,240x = 3,339,048,440.25
  5. Step 5: Solve for x
    x = 3,339,048,440.25/21,240
  6. Step 6: Final answer
    x = 157,205.67

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.