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Finding the Third Proportional to 19,310 and 42,316

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Solution

The third proportional to 19,310 and 42,316 is: 92,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,310 : 42,316 = 42,316 : x
  2. Step 2: Convert to fraction form
    19,310/42,316 = 42,316/x
  3. Step 3: Cross multiply
    19,310x = 42,316 × 42,316
  4. Step 4: Simplify right side
    19,310x = 1,790,643,856
  5. Step 5: Solve for x
    x = 1,790,643,856/19,310
  6. Step 6: Final answer
    x = 92,731.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.