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Finding the Third Proportional to 7,598.14 and 12,208.14

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Solution

The third proportional to 7,598.14 and 12,208.14 is: 19,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.14 : 12,208.14 = 12,208.14 : x
  2. Step 2: Convert to fraction form
    7,598.14/12,208.14 = 12,208.14/x
  3. Step 3: Cross multiply
    7,598.14x = 12,208.14 × 12,208.14
  4. Step 4: Simplify right side
    7,598.14x = 149,038,673.68
  5. Step 5: Solve for x
    x = 149,038,673.68/7,598.14
  6. Step 6: Final answer
    x = 19,615.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.