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Finding the Third Proportional to 39,423 and 59,955

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Solution

The third proportional to 39,423 and 59,955 is: 91,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,423 : 59,955 = 59,955 : x
  2. Step 2: Convert to fraction form
    39,423/59,955 = 59,955/x
  3. Step 3: Cross multiply
    39,423x = 59,955 × 59,955
  4. Step 4: Simplify right side
    39,423x = 3,594,602,025
  5. Step 5: Solve for x
    x = 3,594,602,025/39,423
  6. Step 6: Final answer
    x = 91,180.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.