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Finding the Third Proportional to 30,448 and 40,730

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Solution

The third proportional to 30,448 and 40,730 is: 54,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448 : 40,730 = 40,730 : x
  2. Step 2: Convert to fraction form
    30,448/40,730 = 40,730/x
  3. Step 3: Cross multiply
    30,448x = 40,730 × 40,730
  4. Step 4: Simplify right side
    30,448x = 1,658,932,900
  5. Step 5: Solve for x
    x = 1,658,932,900/30,448
  6. Step 6: Final answer
    x = 54,484.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.