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Finding the Third Proportional to 6,681 and 17,610

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Solution

The third proportional to 6,681 and 17,610 is: 46,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681 : 17,610 = 17,610 : x
  2. Step 2: Convert to fraction form
    6,681/17,610 = 17,610/x
  3. Step 3: Cross multiply
    6,681x = 17,610 × 17,610
  4. Step 4: Simplify right side
    6,681x = 310,112,100
  5. Step 5: Solve for x
    x = 310,112,100/6,681
  6. Step 6: Final answer
    x = 46,417.02

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.