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Finding the Third Proportional to 55,464 and 74,340

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Solution

The third proportional to 55,464 and 74,340 is: 99,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,464 : 74,340 = 74,340 : x
  2. Step 2: Convert to fraction form
    55,464/74,340 = 74,340/x
  3. Step 3: Cross multiply
    55,464x = 74,340 × 74,340
  4. Step 4: Simplify right side
    55,464x = 5,526,435,600
  5. Step 5: Solve for x
    x = 5,526,435,600/55,464
  6. Step 6: Final answer
    x = 99,640.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.