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Finding the Third Proportional to 38,502 and 56,423.25

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Solution

The third proportional to 38,502 and 56,423.25 is: 82,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502 : 56,423.25 = 56,423.25 : x
  2. Step 2: Convert to fraction form
    38,502/56,423.25 = 56,423.25/x
  3. Step 3: Cross multiply
    38,502x = 56,423.25 × 56,423.25
  4. Step 4: Simplify right side
    38,502x = 3,183,583,140.56
  5. Step 5: Solve for x
    x = 3,183,583,140.56/38,502
  6. Step 6: Final answer
    x = 82,686.18

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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.