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Finding the Third Proportional to 7,637.41 and 11,460.39

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Solution

The third proportional to 7,637.41 and 11,460.39 is: 17,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.41 : 11,460.39 = 11,460.39 : x
  2. Step 2: Convert to fraction form
    7,637.41/11,460.39 = 11,460.39/x
  3. Step 3: Cross multiply
    7,637.41x = 11,460.39 × 11,460.39
  4. Step 4: Simplify right side
    7,637.41x = 131,340,598.04
  5. Step 5: Solve for x
    x = 131,340,598.04/7,637.41
  6. Step 6: Final answer
    x = 17,197.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.