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Finding the Third Proportional to 27,969.68 and 42,543.98

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Solution

The third proportional to 27,969.68 and 42,543.98 is: 64,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.68 : 42,543.98 = 42,543.98 : x
  2. Step 2: Convert to fraction form
    27,969.68/42,543.98 = 42,543.98/x
  3. Step 3: Cross multiply
    27,969.68x = 42,543.98 × 42,543.98
  4. Step 4: Simplify right side
    27,969.68x = 1,809,990,606.50
  5. Step 5: Solve for x
    x = 1,809,990,606.50/27,969.68
  6. Step 6: Final answer
    x = 64,712.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.