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Finding the Third Proportional to 10,543.50 and 16,340.06

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Solution

The third proportional to 10,543.50 and 16,340.06 is: 25,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.50 : 16,340.06 = 16,340.06 : x
  2. Step 2: Convert to fraction form
    10,543.50/16,340.06 = 16,340.06/x
  3. Step 3: Cross multiply
    10,543.50x = 16,340.06 × 16,340.06
  4. Step 4: Simplify right side
    10,543.50x = 266,997,642.50
  5. Step 5: Solve for x
    x = 266,997,642.50/10,543.50
  6. Step 6: Final answer
    x = 25,323.44

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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.