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Finding the Third Proportional to 12,341.74 and 26,779.36

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Solution

The third proportional to 12,341.74 and 26,779.36 is: 58,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.74 : 26,779.36 = 26,779.36 : x
  2. Step 2: Convert to fraction form
    12,341.74/26,779.36 = 26,779.36/x
  3. Step 3: Cross multiply
    12,341.74x = 26,779.36 × 26,779.36
  4. Step 4: Simplify right side
    12,341.74x = 717,134,088.54
  5. Step 5: Solve for x
    x = 717,134,088.54/12,341.74
  6. Step 6: Final answer
    x = 58,106.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.