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Finding the Third Proportional to 40,176 and 59,443.88

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Solution

The third proportional to 40,176 and 59,443.88 is: 87,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,176 : 59,443.88 = 59,443.88 : x
  2. Step 2: Convert to fraction form
    40,176/59,443.88 = 59,443.88/x
  3. Step 3: Cross multiply
    40,176x = 59,443.88 × 59,443.88
  4. Step 4: Simplify right side
    40,176x = 3,533,574,275.02
  5. Step 5: Solve for x
    x = 3,533,574,275.02/40,176
  6. Step 6: Final answer
    x = 87,952.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.