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Finding the Third Proportional to 11,763.67 and 14,980.10

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Solution

The third proportional to 11,763.67 and 14,980.10 is: 19,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.67 : 14,980.10 = 14,980.10 : x
  2. Step 2: Convert to fraction form
    11,763.67/14,980.10 = 14,980.10/x
  3. Step 3: Cross multiply
    11,763.67x = 14,980.10 × 14,980.10
  4. Step 4: Simplify right side
    11,763.67x = 224,403,267.27
  5. Step 5: Solve for x
    x = 224,403,267.27/11,763.67
  6. Step 6: Final answer
    x = 19,075.96

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.