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Finding the Third Proportional to 10,430.44 and 21,588.19

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Solution

The third proportional to 10,430.44 and 21,588.19 is: 44,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.44 : 21,588.19 = 21,588.19 : x
  2. Step 2: Convert to fraction form
    10,430.44/21,588.19 = 21,588.19/x
  3. Step 3: Cross multiply
    10,430.44x = 21,588.19 × 21,588.19
  4. Step 4: Simplify right side
    10,430.44x = 466,049,839.54
  5. Step 5: Solve for x
    x = 466,049,839.54/10,430.44
  6. Step 6: Final answer
    x = 44,681.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.