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Finding the Third Proportional to 14,126.34 and 21,887.16

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Solution

The third proportional to 14,126.34 and 21,887.16 is: 33,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.34 : 21,887.16 = 21,887.16 : x
  2. Step 2: Convert to fraction form
    14,126.34/21,887.16 = 21,887.16/x
  3. Step 3: Cross multiply
    14,126.34x = 21,887.16 × 21,887.16
  4. Step 4: Simplify right side
    14,126.34x = 479,047,608.71
  5. Step 5: Solve for x
    x = 479,047,608.71/14,126.34
  6. Step 6: Final answer
    x = 33,911.65

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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.