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Finding the Third Proportional to 35,931.94 and 83,926.13

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Solution

The third proportional to 35,931.94 and 83,926.13 is: 196,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,931.94 : 83,926.13 = 83,926.13 : x
  2. Step 2: Convert to fraction form
    35,931.94/83,926.13 = 83,926.13/x
  3. Step 3: Cross multiply
    35,931.94x = 83,926.13 × 83,926.13
  4. Step 4: Simplify right side
    35,931.94x = 7,043,594,457.52
  5. Step 5: Solve for x
    x = 7,043,594,457.52/35,931.94
  6. Step 6: Final answer
    x = 196,026.01

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.