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Finding the Third Proportional to 19,458 and 22,990.50

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Solution

The third proportional to 19,458 and 22,990.50 is: 27,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,458 : 22,990.50 = 22,990.50 : x
  2. Step 2: Convert to fraction form
    19,458/22,990.50 = 22,990.50/x
  3. Step 3: Cross multiply
    19,458x = 22,990.50 × 22,990.50
  4. Step 4: Simplify right side
    19,458x = 528,563,090.25
  5. Step 5: Solve for x
    x = 528,563,090.25/19,458
  6. Step 6: Final answer
    x = 27,164.31

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.