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Finding the Third Proportional to 48,386 and 74,768

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Solution

The third proportional to 48,386 and 74,768 is: 115,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,386 : 74,768 = 74,768 : x
  2. Step 2: Convert to fraction form
    48,386/74,768 = 74,768/x
  3. Step 3: Cross multiply
    48,386x = 74,768 × 74,768
  4. Step 4: Simplify right side
    48,386x = 5,590,253,824
  5. Step 5: Solve for x
    x = 5,590,253,824/48,386
  6. Step 6: Final answer
    x = 115,534.53

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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.