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Finding the Third Proportional to 11,460.39 and 24,300.47

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Solution

The third proportional to 11,460.39 and 24,300.47 is: 51,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.39 : 24,300.47 = 24,300.47 : x
  2. Step 2: Convert to fraction form
    11,460.39/24,300.47 = 24,300.47/x
  3. Step 3: Cross multiply
    11,460.39x = 24,300.47 × 24,300.47
  4. Step 4: Simplify right side
    11,460.39x = 590,513,066.24
  5. Step 5: Solve for x
    x = 590,513,066.24/11,460.39
  6. Step 6: Final answer
    x = 51,526.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.