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Finding the Third Proportional to 38,030 and 58,773

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Solution

The third proportional to 38,030 and 58,773 is: 90,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,030 : 58,773 = 58,773 : x
  2. Step 2: Convert to fraction form
    38,030/58,773 = 58,773/x
  3. Step 3: Cross multiply
    38,030x = 58,773 × 58,773
  4. Step 4: Simplify right side
    38,030x = 3,454,265,529
  5. Step 5: Solve for x
    x = 3,454,265,529/38,030
  6. Step 6: Final answer
    x = 90,830.02

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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.