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Finding the Third Proportional to 39,270 and 59,724

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Solution

The third proportional to 39,270 and 59,724 is: 90,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,270 : 59,724 = 59,724 : x
  2. Step 2: Convert to fraction form
    39,270/59,724 = 59,724/x
  3. Step 3: Cross multiply
    39,270x = 59,724 × 59,724
  4. Step 4: Simplify right side
    39,270x = 3,566,956,176
  5. Step 5: Solve for x
    x = 3,566,956,176/39,270
  6. Step 6: Final answer
    x = 90,831.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.