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Finding the Third Proportional to 5,159.63 and 11,048.25

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Solution

The third proportional to 5,159.63 and 11,048.25 is: 23,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.63 : 11,048.25 = 11,048.25 : x
  2. Step 2: Convert to fraction form
    5,159.63/11,048.25 = 11,048.25/x
  3. Step 3: Cross multiply
    5,159.63x = 11,048.25 × 11,048.25
  4. Step 4: Simplify right side
    5,159.63x = 122,063,828.06
  5. Step 5: Solve for x
    x = 122,063,828.06/5,159.63
  6. Step 6: Final answer
    x = 23,657.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.