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Finding the Third Proportional to 19,554 and 42,153

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Solution

The third proportional to 19,554 and 42,153 is: 90,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,554 : 42,153 = 42,153 : x
  2. Step 2: Convert to fraction form
    19,554/42,153 = 42,153/x
  3. Step 3: Cross multiply
    19,554x = 42,153 × 42,153
  4. Step 4: Simplify right side
    19,554x = 1,776,875,409
  5. Step 5: Solve for x
    x = 1,776,875,409/19,554
  6. Step 6: Final answer
    x = 90,870.18

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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.