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Finding the Third Proportional to 18,900.84 and 23,886.14

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Solution

The third proportional to 18,900.84 and 23,886.14 is: 30,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,900.84 : 23,886.14 = 23,886.14 : x
  2. Step 2: Convert to fraction form
    18,900.84/23,886.14 = 23,886.14/x
  3. Step 3: Cross multiply
    18,900.84x = 23,886.14 × 23,886.14
  4. Step 4: Simplify right side
    18,900.84x = 570,547,713.96
  5. Step 5: Solve for x
    x = 570,547,713.96/18,900.84
  6. Step 6: Final answer
    x = 30,186.36

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.