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Finding the Third Proportional to 19,485 and 42,046.88

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Solution

The third proportional to 19,485 and 42,046.88 is: 90,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,485 : 42,046.88 = 42,046.88 : x
  2. Step 2: Convert to fraction form
    19,485/42,046.88 = 42,046.88/x
  3. Step 3: Cross multiply
    19,485x = 42,046.88 × 42,046.88
  4. Step 4: Simplify right side
    19,485x = 1,767,939,697.27
  5. Step 5: Solve for x
    x = 1,767,939,697.27/19,485
  6. Step 6: Final answer
    x = 90,733.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.