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Finding the Third Proportional to 48,416 and 74,770

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Solution

The third proportional to 48,416 and 74,770 is: 115,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,416 : 74,770 = 74,770 : x
  2. Step 2: Convert to fraction form
    48,416/74,770 = 74,770/x
  3. Step 3: Cross multiply
    48,416x = 74,770 × 74,770
  4. Step 4: Simplify right side
    48,416x = 5,590,552,900
  5. Step 5: Solve for x
    x = 5,590,552,900/48,416
  6. Step 6: Final answer
    x = 115,469.12

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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.