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Finding the Third Proportional to 9,810 and 21,189.38

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Solution

The third proportional to 9,810 and 21,189.38 is: 45,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810 : 21,189.38 = 21,189.38 : x
  2. Step 2: Convert to fraction form
    9,810/21,189.38 = 21,189.38/x
  3. Step 3: Cross multiply
    9,810x = 21,189.38 × 21,189.38
  4. Step 4: Simplify right side
    9,810x = 448,989,612.89
  5. Step 5: Solve for x
    x = 448,989,612.89/9,810
  6. Step 6: Final answer
    x = 45,768.56

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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.