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Finding the Third Proportional to 7,290.84 and 15,978.94

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Solution

The third proportional to 7,290.84 and 15,978.94 is: 35,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.84 : 15,978.94 = 15,978.94 : x
  2. Step 2: Convert to fraction form
    7,290.84/15,978.94 = 15,978.94/x
  3. Step 3: Cross multiply
    7,290.84x = 15,978.94 × 15,978.94
  4. Step 4: Simplify right side
    7,290.84x = 255,326,443.63
  5. Step 5: Solve for x
    x = 255,326,443.63/7,290.84
  6. Step 6: Final answer
    x = 35,020.15

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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.