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Finding the Third Proportional to 14,056.03 and 21,756.09

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Solution

The third proportional to 14,056.03 and 21,756.09 is: 33,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.03 : 21,756.09 = 21,756.09 : x
  2. Step 2: Convert to fraction form
    14,056.03/21,756.09 = 21,756.09/x
  3. Step 3: Cross multiply
    14,056.03x = 21,756.09 × 21,756.09
  4. Step 4: Simplify right side
    14,056.03x = 473,327,615.26
  5. Step 5: Solve for x
    x = 473,327,615.26/14,056.03
  6. Step 6: Final answer
    x = 33,674.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.