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Finding the Third Proportional to 7,878.38 and 11,762.06

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Solution

The third proportional to 7,878.38 and 11,762.06 is: 17,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.38 : 11,762.06 = 11,762.06 : x
  2. Step 2: Convert to fraction form
    7,878.38/11,762.06 = 11,762.06/x
  3. Step 3: Cross multiply
    7,878.38x = 11,762.06 × 11,762.06
  4. Step 4: Simplify right side
    7,878.38x = 138,346,114.25
  5. Step 5: Solve for x
    x = 138,346,114.25/7,878.38
  6. Step 6: Final answer
    x = 17,560.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.