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Finding the Third Proportional to 14,742 and 21,055.50

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Solution

The third proportional to 14,742 and 21,055.50 is: 30,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 21,055.50 = 21,055.50 : x
  2. Step 2: Convert to fraction form
    14,742/21,055.50 = 21,055.50/x
  3. Step 3: Cross multiply
    14,742x = 21,055.50 × 21,055.50
  4. Step 4: Simplify right side
    14,742x = 443,334,080.25
  5. Step 5: Solve for x
    x = 443,334,080.25/14,742
  6. Step 6: Final answer
    x = 30,072.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.