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Finding the Third Proportional to 30,460 and 46,014

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Solution

The third proportional to 30,460 and 46,014 is: 69,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460 : 46,014 = 46,014 : x
  2. Step 2: Convert to fraction form
    30,460/46,014 = 46,014/x
  3. Step 3: Cross multiply
    30,460x = 46,014 × 46,014
  4. Step 4: Simplify right side
    30,460x = 2,117,288,196
  5. Step 5: Solve for x
    x = 2,117,288,196/30,460
  6. Step 6: Final answer
    x = 69,510.45

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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.