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Finding the Third Proportional to 40,276 and 59,228

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Solution

The third proportional to 40,276 and 59,228 is: 87,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,276 : 59,228 = 59,228 : x
  2. Step 2: Convert to fraction form
    40,276/59,228 = 59,228/x
  3. Step 3: Cross multiply
    40,276x = 59,228 × 59,228
  4. Step 4: Simplify right side
    40,276x = 3,507,955,984
  5. Step 5: Solve for x
    x = 3,507,955,984/40,276
  6. Step 6: Final answer
    x = 87,097.92

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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.