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Finding the Third Proportional to 19,543.50 and 30,271

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Solution

The third proportional to 19,543.50 and 30,271 is: 46,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543.50 : 30,271 = 30,271 : x
  2. Step 2: Convert to fraction form
    19,543.50/30,271 = 30,271/x
  3. Step 3: Cross multiply
    19,543.50x = 30,271 × 30,271
  4. Step 4: Simplify right side
    19,543.50x = 916,333,441
  5. Step 5: Solve for x
    x = 916,333,441/19,543.50
  6. Step 6: Final answer
    x = 46,886.86

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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.