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Finding the Third Proportional to 35,681.06 and 77,718.94

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Solution

The third proportional to 35,681.06 and 77,718.94 is: 169,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,681.06 : 77,718.94 = 77,718.94 : x
  2. Step 2: Convert to fraction form
    35,681.06/77,718.94 = 77,718.94/x
  3. Step 3: Cross multiply
    35,681.06x = 77,718.94 × 77,718.94
  4. Step 4: Simplify right side
    35,681.06x = 6,040,233,246.13
  5. Step 5: Solve for x
    x = 6,040,233,246.13/35,681.06
  6. Step 6: Final answer
    x = 169,284.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.