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Finding the Third Proportional to 22,004.63 and 48,041.44

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Solution

The third proportional to 22,004.63 and 48,041.44 is: 104,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004.63 : 48,041.44 = 48,041.44 : x
  2. Step 2: Convert to fraction form
    22,004.63/48,041.44 = 48,041.44/x
  3. Step 3: Cross multiply
    22,004.63x = 48,041.44 × 48,041.44
  4. Step 4: Simplify right side
    22,004.63x = 2,307,979,717.07
  5. Step 5: Solve for x
    x = 2,307,979,717.07/22,004.63
  6. Step 6: Final answer
    x = 104,886.12

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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.