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Finding the Third Proportional to 22,352 and 48,971

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Solution

The third proportional to 22,352 and 48,971 is: 107,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352 : 48,971 = 48,971 : x
  2. Step 2: Convert to fraction form
    22,352/48,971 = 48,971/x
  3. Step 3: Cross multiply
    22,352x = 48,971 × 48,971
  4. Step 4: Simplify right side
    22,352x = 2,398,158,841
  5. Step 5: Solve for x
    x = 2,398,158,841/22,352
  6. Step 6: Final answer
    x = 107,290.57

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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.