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Finding the Third Proportional to 10,109.81 and 21,373.88

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Solution

The third proportional to 10,109.81 and 21,373.88 is: 45,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.81 : 21,373.88 = 21,373.88 : x
  2. Step 2: Convert to fraction form
    10,109.81/21,373.88 = 21,373.88/x
  3. Step 3: Cross multiply
    10,109.81x = 21,373.88 × 21,373.88
  4. Step 4: Simplify right side
    10,109.81x = 456,842,532.52
  5. Step 5: Solve for x
    x = 456,842,532.52/10,109.81
  6. Step 6: Final answer
    x = 45,188.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.