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Finding the Third Proportional to 13,050 and 27,946.50

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Solution

The third proportional to 13,050 and 27,946.50 is: 59,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050 : 27,946.50 = 27,946.50 : x
  2. Step 2: Convert to fraction form
    13,050/27,946.50 = 27,946.50/x
  3. Step 3: Cross multiply
    13,050x = 27,946.50 × 27,946.50
  4. Step 4: Simplify right side
    13,050x = 781,006,862.25
  5. Step 5: Solve for x
    x = 781,006,862.25/13,050
  6. Step 6: Final answer
    x = 59,847.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.