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Finding the Third Proportional to 19,522 and 42,842

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Solution

The third proportional to 19,522 and 42,842 is: 94,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522 : 42,842 = 42,842 : x
  2. Step 2: Convert to fraction form
    19,522/42,842 = 42,842/x
  3. Step 3: Cross multiply
    19,522x = 42,842 × 42,842
  4. Step 4: Simplify right side
    19,522x = 1,835,436,964
  5. Step 5: Solve for x
    x = 1,835,436,964/19,522
  6. Step 6: Final answer
    x = 94,018.90

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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.