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Finding the Third Proportional to 9,820.13 and 21,347.81

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Solution

The third proportional to 9,820.13 and 21,347.81 is: 46,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.13 : 21,347.81 = 21,347.81 : x
  2. Step 2: Convert to fraction form
    9,820.13/21,347.81 = 21,347.81/x
  3. Step 3: Cross multiply
    9,820.13x = 21,347.81 × 21,347.81
  4. Step 4: Simplify right side
    9,820.13x = 455,729,098.54
  5. Step 5: Solve for x
    x = 455,729,098.54/9,820.13
  6. Step 6: Final answer
    x = 46,407.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.