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Finding the Third Proportional to 48,476 and 74,486

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Solution

The third proportional to 48,476 and 74,486 is: 114,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476 : 74,486 = 74,486 : x
  2. Step 2: Convert to fraction form
    48,476/74,486 = 74,486/x
  3. Step 3: Cross multiply
    48,476x = 74,486 × 74,486
  4. Step 4: Simplify right side
    48,476x = 5,548,164,196
  5. Step 5: Solve for x
    x = 5,548,164,196/48,476
  6. Step 6: Final answer
    x = 114,451.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.