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Finding the Third Proportional to 7,347.75 and 17,341.88

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Solution

The third proportional to 7,347.75 and 17,341.88 is: 40,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.75 : 17,341.88 = 17,341.88 : x
  2. Step 2: Convert to fraction form
    7,347.75/17,341.88 = 17,341.88/x
  3. Step 3: Cross multiply
    7,347.75x = 17,341.88 × 17,341.88
  4. Step 4: Simplify right side
    7,347.75x = 300,740,628.52
  5. Step 5: Solve for x
    x = 300,740,628.52/7,347.75
  6. Step 6: Final answer
    x = 40,929.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.