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Finding the Third Proportional to 11,313 and 14,681.25

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Solution

The third proportional to 11,313 and 14,681.25 is: 19,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313 : 14,681.25 = 14,681.25 : x
  2. Step 2: Convert to fraction form
    11,313/14,681.25 = 14,681.25/x
  3. Step 3: Cross multiply
    11,313x = 14,681.25 × 14,681.25
  4. Step 4: Simplify right side
    11,313x = 215,539,101.56
  5. Step 5: Solve for x
    x = 215,539,101.56/11,313
  6. Step 6: Final answer
    x = 19,052.34

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.