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Finding the Third Proportional to 10,001 and 14,405.50

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Solution

The third proportional to 10,001 and 14,405.50 is: 20,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001 : 14,405.50 = 14,405.50 : x
  2. Step 2: Convert to fraction form
    10,001/14,405.50 = 14,405.50/x
  3. Step 3: Cross multiply
    10,001x = 14,405.50 × 14,405.50
  4. Step 4: Simplify right side
    10,001x = 207,518,430.25
  5. Step 5: Solve for x
    x = 207,518,430.25/10,001
  6. Step 6: Final answer
    x = 20,749.77

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.