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Finding the Third Proportional to 10,106.44 and 15,300.14

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Solution

The third proportional to 10,106.44 and 15,300.14 is: 23,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.44 : 15,300.14 = 15,300.14 : x
  2. Step 2: Convert to fraction form
    10,106.44/15,300.14 = 15,300.14/x
  3. Step 3: Cross multiply
    10,106.44x = 15,300.14 × 15,300.14
  4. Step 4: Simplify right side
    10,106.44x = 234,094,303.14
  5. Step 5: Solve for x
    x = 234,094,303.14/10,106.44
  6. Step 6: Final answer
    x = 23,162.89

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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.