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Finding the Third Proportional to 19,154.25 and 29,733.75

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Solution

The third proportional to 19,154.25 and 29,733.75 is: 46,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,154.25 : 29,733.75 = 29,733.75 : x
  2. Step 2: Convert to fraction form
    19,154.25/29,733.75 = 29,733.75/x
  3. Step 3: Cross multiply
    19,154.25x = 29,733.75 × 29,733.75
  4. Step 4: Simplify right side
    19,154.25x = 884,095,889.06
  5. Step 5: Solve for x
    x = 884,095,889.06/19,154.25
  6. Step 6: Final answer
    x = 46,156.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.