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Finding the Third Proportional to 21,042 and 45,263

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Solution

The third proportional to 21,042 and 45,263 is: 97,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042 : 45,263 = 45,263 : x
  2. Step 2: Convert to fraction form
    21,042/45,263 = 45,263/x
  3. Step 3: Cross multiply
    21,042x = 45,263 × 45,263
  4. Step 4: Simplify right side
    21,042x = 2,048,739,169
  5. Step 5: Solve for x
    x = 2,048,739,169/21,042
  6. Step 6: Final answer
    x = 97,364.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.