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Finding the Third Proportional to 11,070 and 23,390.44

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Solution

The third proportional to 11,070 and 23,390.44 is: 49,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070 : 23,390.44 = 23,390.44 : x
  2. Step 2: Convert to fraction form
    11,070/23,390.44 = 23,390.44/x
  3. Step 3: Cross multiply
    11,070x = 23,390.44 × 23,390.44
  4. Step 4: Simplify right side
    11,070x = 547,112,566.44
  5. Step 5: Solve for x
    x = 547,112,566.44/11,070
  6. Step 6: Final answer
    x = 49,423.00

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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.