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Finding the Third Proportional to 40,116 and 58,953

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Solution

The third proportional to 40,116 and 58,953 is: 86,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,116 : 58,953 = 58,953 : x
  2. Step 2: Convert to fraction form
    40,116/58,953 = 58,953/x
  3. Step 3: Cross multiply
    40,116x = 58,953 × 58,953
  4. Step 4: Simplify right side
    40,116x = 3,475,456,209
  5. Step 5: Solve for x
    x = 3,475,456,209/40,116
  6. Step 6: Final answer
    x = 86,635.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.