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Finding the Third Proportional to 48,464 and 70,816

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Solution

The third proportional to 48,464 and 70,816 is: 103,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,464 : 70,816 = 70,816 : x
  2. Step 2: Convert to fraction form
    48,464/70,816 = 70,816/x
  3. Step 3: Cross multiply
    48,464x = 70,816 × 70,816
  4. Step 4: Simplify right side
    48,464x = 5,014,905,856
  5. Step 5: Solve for x
    x = 5,014,905,856/48,464
  6. Step 6: Final answer
    x = 103,476.93

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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.