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Finding the Third Proportional to 13,975.88 and 21,098.81

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Solution

The third proportional to 13,975.88 and 21,098.81 is: 31,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.88 : 21,098.81 = 21,098.81 : x
  2. Step 2: Convert to fraction form
    13,975.88/21,098.81 = 21,098.81/x
  3. Step 3: Cross multiply
    13,975.88x = 21,098.81 × 21,098.81
  4. Step 4: Simplify right side
    13,975.88x = 445,159,888.91
  5. Step 5: Solve for x
    x = 445,159,888.91/13,975.88
  6. Step 6: Final answer
    x = 31,852.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.