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Finding the Third Proportional to 30,464 and 46,020

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Solution

The third proportional to 30,464 and 46,020 is: 69,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464 : 46,020 = 46,020 : x
  2. Step 2: Convert to fraction form
    30,464/46,020 = 46,020/x
  3. Step 3: Cross multiply
    30,464x = 46,020 × 46,020
  4. Step 4: Simplify right side
    30,464x = 2,117,840,400
  5. Step 5: Solve for x
    x = 2,117,840,400/30,464
  6. Step 6: Final answer
    x = 69,519.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.