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Finding the Third Proportional to 48,319 and 74,786

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Solution

The third proportional to 48,319 and 74,786 is: 115,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,319 : 74,786 = 74,786 : x
  2. Step 2: Convert to fraction form
    48,319/74,786 = 74,786/x
  3. Step 3: Cross multiply
    48,319x = 74,786 × 74,786
  4. Step 4: Simplify right side
    48,319x = 5,592,945,796
  5. Step 5: Solve for x
    x = 5,592,945,796/48,319
  6. Step 6: Final answer
    x = 115,750.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.