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Finding the Third Proportional to 30,480 and 70,827

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Solution

The third proportional to 30,480 and 70,827 is: 164,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480 : 70,827 = 70,827 : x
  2. Step 2: Convert to fraction form
    30,480/70,827 = 70,827/x
  3. Step 3: Cross multiply
    30,480x = 70,827 × 70,827
  4. Step 4: Simplify right side
    30,480x = 5,016,463,929
  5. Step 5: Solve for x
    x = 5,016,463,929/30,480
  6. Step 6: Final answer
    x = 164,582.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.