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Finding the Third Proportional to 22,370 and 45,710

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Solution

The third proportional to 22,370 and 45,710 is: 93,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,370 : 45,710 = 45,710 : x
  2. Step 2: Convert to fraction form
    22,370/45,710 = 45,710/x
  3. Step 3: Cross multiply
    22,370x = 45,710 × 45,710
  4. Step 4: Simplify right side
    22,370x = 2,089,404,100
  5. Step 5: Solve for x
    x = 2,089,404,100/22,370
  6. Step 6: Final answer
    x = 93,402.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.