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Finding the Third Proportional to 19,575 and 42,339

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Solution

The third proportional to 19,575 and 42,339 is: 91,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575 : 42,339 = 42,339 : x
  2. Step 2: Convert to fraction form
    19,575/42,339 = 42,339/x
  3. Step 3: Cross multiply
    19,575x = 42,339 × 42,339
  4. Step 4: Simplify right side
    19,575x = 1,792,590,921
  5. Step 5: Solve for x
    x = 1,792,590,921/19,575
  6. Step 6: Final answer
    x = 91,575.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.