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Finding the Third Proportional to 23,058 and 50,459.63

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Solution

The third proportional to 23,058 and 50,459.63 is: 110,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058 : 50,459.63 = 50,459.63 : x
  2. Step 2: Convert to fraction form
    23,058/50,459.63 = 50,459.63/x
  3. Step 3: Cross multiply
    23,058x = 50,459.63 × 50,459.63
  4. Step 4: Simplify right side
    23,058x = 2,546,173,755.14
  5. Step 5: Solve for x
    x = 2,546,173,755.14/23,058
  6. Step 6: Final answer
    x = 110,424.74

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1.5x scale

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.