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Finding the Third Proportional to 18,310 and 42,319

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Solution

The third proportional to 18,310 and 42,319 is: 97,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,310 : 42,319 = 42,319 : x
  2. Step 2: Convert to fraction form
    18,310/42,319 = 42,319/x
  3. Step 3: Cross multiply
    18,310x = 42,319 × 42,319
  4. Step 4: Simplify right side
    18,310x = 1,790,897,761
  5. Step 5: Solve for x
    x = 1,790,897,761/18,310
  6. Step 6: Final answer
    x = 97,809.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.