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Finding the Third Proportional to 14,949.63 and 23,133.19

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Solution

The third proportional to 14,949.63 and 23,133.19 is: 35,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949.63 : 23,133.19 = 23,133.19 : x
  2. Step 2: Convert to fraction form
    14,949.63/23,133.19 = 23,133.19/x
  3. Step 3: Cross multiply
    14,949.63x = 23,133.19 × 23,133.19
  4. Step 4: Simplify right side
    14,949.63x = 535,144,363.91
  5. Step 5: Solve for x
    x = 535,144,363.91/14,949.63
  6. Step 6: Final answer
    x = 35,796.51

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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.