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Finding the Third Proportional to 37,716 and 74,480

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Solution

The third proportional to 37,716 and 74,480 is: 147,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,716 : 74,480 = 74,480 : x
  2. Step 2: Convert to fraction form
    37,716/74,480 = 74,480/x
  3. Step 3: Cross multiply
    37,716x = 74,480 × 74,480
  4. Step 4: Simplify right side
    37,716x = 5,547,270,400
  5. Step 5: Solve for x
    x = 5,547,270,400/37,716
  6. Step 6: Final answer
    x = 147,080.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.