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Finding the Third Proportional to 8,853.38 and 19,316.63

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Solution

The third proportional to 8,853.38 and 19,316.63 is: 42,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853.38 : 19,316.63 = 19,316.63 : x
  2. Step 2: Convert to fraction form
    8,853.38/19,316.63 = 19,316.63/x
  3. Step 3: Cross multiply
    8,853.38x = 19,316.63 × 19,316.63
  4. Step 4: Simplify right side
    8,853.38x = 373,132,001.39
  5. Step 5: Solve for x
    x = 373,132,001.39/8,853.38
  6. Step 6: Final answer
    x = 42,145.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.