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Finding the Third Proportional to 39,789 and 59,784

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Solution

The third proportional to 39,789 and 59,784 is: 89,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,789 : 59,784 = 59,784 : x
  2. Step 2: Convert to fraction form
    39,789/59,784 = 59,784/x
  3. Step 3: Cross multiply
    39,789x = 59,784 × 59,784
  4. Step 4: Simplify right side
    39,789x = 3,574,126,656
  5. Step 5: Solve for x
    x = 3,574,126,656/39,789
  6. Step 6: Final answer
    x = 89,827.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.