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Finding the Third Proportional to 20,887 and 45,058

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Solution

The third proportional to 20,887 and 45,058 is: 97,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,887 : 45,058 = 45,058 : x
  2. Step 2: Convert to fraction form
    20,887/45,058 = 45,058/x
  3. Step 3: Cross multiply
    20,887x = 45,058 × 45,058
  4. Step 4: Simplify right side
    20,887x = 2,030,223,364
  5. Step 5: Solve for x
    x = 2,030,223,364/20,887
  6. Step 6: Final answer
    x = 97,200.33

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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.