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Finding the Third Proportional to 10,483.88 and 14,009.63

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Solution

The third proportional to 10,483.88 and 14,009.63 is: 18,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.88 : 14,009.63 = 14,009.63 : x
  2. Step 2: Convert to fraction form
    10,483.88/14,009.63 = 14,009.63/x
  3. Step 3: Cross multiply
    10,483.88x = 14,009.63 × 14,009.63
  4. Step 4: Simplify right side
    10,483.88x = 196,269,592.64
  5. Step 5: Solve for x
    x = 196,269,592.64/10,483.88
  6. Step 6: Final answer
    x = 18,721.09

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.