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Finding the Third Proportional to 46,026 and 70,374

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Solution

The third proportional to 46,026 and 70,374 is: 107,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,026 : 70,374 = 70,374 : x
  2. Step 2: Convert to fraction form
    46,026/70,374 = 70,374/x
  3. Step 3: Cross multiply
    46,026x = 70,374 × 70,374
  4. Step 4: Simplify right side
    46,026x = 4,952,499,876
  5. Step 5: Solve for x
    x = 4,952,499,876/46,026
  6. Step 6: Final answer
    x = 107,602.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.