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Finding the Third Proportional to 14,588.50 and 22,055.50

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Solution

The third proportional to 14,588.50 and 22,055.50 is: 33,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.50 : 22,055.50 = 22,055.50 : x
  2. Step 2: Convert to fraction form
    14,588.50/22,055.50 = 22,055.50/x
  3. Step 3: Cross multiply
    14,588.50x = 22,055.50 × 22,055.50
  4. Step 4: Simplify right side
    14,588.50x = 486,445,080.25
  5. Step 5: Solve for x
    x = 486,445,080.25/14,588.50
  6. Step 6: Final answer
    x = 33,344.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.