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Finding the Third Proportional to 19,465 and 42,333

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Solution

The third proportional to 19,465 and 42,333 is: 92,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,465 : 42,333 = 42,333 : x
  2. Step 2: Convert to fraction form
    19,465/42,333 = 42,333/x
  3. Step 3: Cross multiply
    19,465x = 42,333 × 42,333
  4. Step 4: Simplify right side
    19,465x = 1,792,082,889
  5. Step 5: Solve for x
    x = 1,792,082,889/19,465
  6. Step 6: Final answer
    x = 92,066.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.