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Finding the Third Proportional to 14,154 and 19,154.50

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Solution

The third proportional to 14,154 and 19,154.50 is: 25,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154 : 19,154.50 = 19,154.50 : x
  2. Step 2: Convert to fraction form
    14,154/19,154.50 = 19,154.50/x
  3. Step 3: Cross multiply
    14,154x = 19,154.50 × 19,154.50
  4. Step 4: Simplify right side
    14,154x = 366,894,870.25
  5. Step 5: Solve for x
    x = 366,894,870.25/14,154
  6. Step 6: Final answer
    x = 25,921.64

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.