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Finding the Third Proportional to 40,596 and 59,784

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Solution

The third proportional to 40,596 and 59,784 is: 88,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,596 : 59,784 = 59,784 : x
  2. Step 2: Convert to fraction form
    40,596/59,784 = 59,784/x
  3. Step 3: Cross multiply
    40,596x = 59,784 × 59,784
  4. Step 4: Simplify right side
    40,596x = 3,574,126,656
  5. Step 5: Solve for x
    x = 3,574,126,656/40,596
  6. Step 6: Final answer
    x = 88,041.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.