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Finding the Third Proportional to 21,133 and 45,610

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Solution

The third proportional to 21,133 and 45,610 is: 98,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133 : 45,610 = 45,610 : x
  2. Step 2: Convert to fraction form
    21,133/45,610 = 45,610/x
  3. Step 3: Cross multiply
    21,133x = 45,610 × 45,610
  4. Step 4: Simplify right side
    21,133x = 2,080,272,100
  5. Step 5: Solve for x
    x = 2,080,272,100/21,133
  6. Step 6: Final answer
    x = 98,437.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.