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Finding the Third Proportional to 40,232.32 and 59,116.08

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Solution

The third proportional to 40,232.32 and 59,116.08 is: 86,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,232.32 : 59,116.08 = 59,116.08 : x
  2. Step 2: Convert to fraction form
    40,232.32/59,116.08 = 59,116.08/x
  3. Step 3: Cross multiply
    40,232.32x = 59,116.08 × 59,116.08
  4. Step 4: Simplify right side
    40,232.32x = 3,494,710,692.88
  5. Step 5: Solve for x
    x = 3,494,710,692.88/40,232.32
  6. Step 6: Final answer
    x = 86,863.26

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Why These Related Problems?

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