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Finding the Third Proportional to 13,125.75 and 28,803.75

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Solution

The third proportional to 13,125.75 and 28,803.75 is: 63,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.75 : 28,803.75 = 28,803.75 : x
  2. Step 2: Convert to fraction form
    13,125.75/28,803.75 = 28,803.75/x
  3. Step 3: Cross multiply
    13,125.75x = 28,803.75 × 28,803.75
  4. Step 4: Simplify right side
    13,125.75x = 829,656,014.06
  5. Step 5: Solve for x
    x = 829,656,014.06/13,125.75
  6. Step 6: Final answer
    x = 63,208.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.