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Finding the Third Proportional to 10,994.63 and 24,005.39

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Solution

The third proportional to 10,994.63 and 24,005.39 is: 52,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.63 : 24,005.39 = 24,005.39 : x
  2. Step 2: Convert to fraction form
    10,994.63/24,005.39 = 24,005.39/x
  3. Step 3: Cross multiply
    10,994.63x = 24,005.39 × 24,005.39
  4. Step 4: Simplify right side
    10,994.63x = 576,258,779.06
  5. Step 5: Solve for x
    x = 576,258,779.06/10,994.63
  6. Step 6: Final answer
    x = 52,412.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.