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Finding the Third Proportional to 7,809.88 and 17,139.75

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Solution

The third proportional to 7,809.88 and 17,139.75 is: 37,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.88 : 17,139.75 = 17,139.75 : x
  2. Step 2: Convert to fraction form
    7,809.88/17,139.75 = 17,139.75/x
  3. Step 3: Cross multiply
    7,809.88x = 17,139.75 × 17,139.75
  4. Step 4: Simplify right side
    7,809.88x = 293,771,030.06
  5. Step 5: Solve for x
    x = 293,771,030.06/7,809.88
  6. Step 6: Final answer
    x = 37,615.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.