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Finding the Third Proportional to 36,258 and 56,028

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Solution

The third proportional to 36,258 and 56,028 is: 86,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,258 : 56,028 = 56,028 : x
  2. Step 2: Convert to fraction form
    36,258/56,028 = 56,028/x
  3. Step 3: Cross multiply
    36,258x = 56,028 × 56,028
  4. Step 4: Simplify right side
    36,258x = 3,139,136,784
  5. Step 5: Solve for x
    x = 3,139,136,784/36,258
  6. Step 6: Final answer
    x = 86,577.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.