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Finding the Third Proportional to 14,126 and 19,184.50

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Solution

The third proportional to 14,126 and 19,184.50 is: 26,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126 : 19,184.50 = 19,184.50 : x
  2. Step 2: Convert to fraction form
    14,126/19,184.50 = 19,184.50/x
  3. Step 3: Cross multiply
    14,126x = 19,184.50 × 19,184.50
  4. Step 4: Simplify right side
    14,126x = 368,045,040.25
  5. Step 5: Solve for x
    x = 368,045,040.25/14,126
  6. Step 6: Final answer
    x = 26,054.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.