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Finding the Third Proportional to 19,700.09 and 42,749.02

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Solution

The third proportional to 19,700.09 and 42,749.02 is: 92,764.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.09 : 42,749.02 = 42,749.02 : x
  2. Step 2: Convert to fraction form
    19,700.09/42,749.02 = 42,749.02/x
  3. Step 3: Cross multiply
    19,700.09x = 42,749.02 × 42,749.02
  4. Step 4: Simplify right side
    19,700.09x = 1,827,478,336.91
  5. Step 5: Solve for x
    x = 1,827,478,336.91/19,700.09
  6. Step 6: Final answer
    x = 92,764.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.