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Finding the Third Proportional to 48,778 and 71,308

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Solution

The third proportional to 48,778 and 71,308 is: 104,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,778 : 71,308 = 71,308 : x
  2. Step 2: Convert to fraction form
    48,778/71,308 = 71,308/x
  3. Step 3: Cross multiply
    48,778x = 71,308 × 71,308
  4. Step 4: Simplify right side
    48,778x = 5,084,830,864
  5. Step 5: Solve for x
    x = 5,084,830,864/48,778
  6. Step 6: Final answer
    x = 104,244.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.