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Finding the Third Proportional to 10,091 and 14,811.50

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Solution

The third proportional to 10,091 and 14,811.50 is: 21,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091 : 14,811.50 = 14,811.50 : x
  2. Step 2: Convert to fraction form
    10,091/14,811.50 = 14,811.50/x
  3. Step 3: Cross multiply
    10,091x = 14,811.50 × 14,811.50
  4. Step 4: Simplify right side
    10,091x = 219,380,532.25
  5. Step 5: Solve for x
    x = 219,380,532.25/10,091
  6. Step 6: Final answer
    x = 21,740.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.