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Finding the Third Proportional to 14,762.25 and 29,114.44

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Solution

The third proportional to 14,762.25 and 29,114.44 is: 57,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.25 : 29,114.44 = 29,114.44 : x
  2. Step 2: Convert to fraction form
    14,762.25/29,114.44 = 29,114.44/x
  3. Step 3: Cross multiply
    14,762.25x = 29,114.44 × 29,114.44
  4. Step 4: Simplify right side
    14,762.25x = 847,650,470.94
  5. Step 5: Solve for x
    x = 847,650,470.94/14,762.25
  6. Step 6: Final answer
    x = 57,420.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.