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Finding the Third Proportional to 39,642 and 60,718.50

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Solution

The third proportional to 39,642 and 60,718.50 is: 93,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642 : 60,718.50 = 60,718.50 : x
  2. Step 2: Convert to fraction form
    39,642/60,718.50 = 60,718.50/x
  3. Step 3: Cross multiply
    39,642x = 60,718.50 × 60,718.50
  4. Step 4: Simplify right side
    39,642x = 3,686,736,242.25
  5. Step 5: Solve for x
    x = 3,686,736,242.25/39,642
  6. Step 6: Final answer
    x = 93,000.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.