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Finding the Third Proportional to 38,018 and 59,719

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Solution

The third proportional to 38,018 and 59,719 is: 93,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,018 : 59,719 = 59,719 : x
  2. Step 2: Convert to fraction form
    38,018/59,719 = 59,719/x
  3. Step 3: Cross multiply
    38,018x = 59,719 × 59,719
  4. Step 4: Simplify right side
    38,018x = 3,566,358,961
  5. Step 5: Solve for x
    x = 3,566,358,961/38,018
  6. Step 6: Final answer
    x = 93,807.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.