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Finding the Third Proportional to 23,026 and 47,348

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Solution

The third proportional to 23,026 and 47,348 is: 97,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026 : 47,348 = 47,348 : x
  2. Step 2: Convert to fraction form
    23,026/47,348 = 47,348/x
  3. Step 3: Cross multiply
    23,026x = 47,348 × 47,348
  4. Step 4: Simplify right side
    23,026x = 2,241,833,104
  5. Step 5: Solve for x
    x = 2,241,833,104/23,026
  6. Step 6: Final answer
    x = 97,360.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.