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Finding the Third Proportional to 30,341 and 46,124

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Solution

The third proportional to 30,341 and 46,124 is: 70,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,341 : 46,124 = 46,124 : x
  2. Step 2: Convert to fraction form
    30,341/46,124 = 46,124/x
  3. Step 3: Cross multiply
    30,341x = 46,124 × 46,124
  4. Step 4: Simplify right side
    30,341x = 2,127,423,376
  5. Step 5: Solve for x
    x = 2,127,423,376/30,341
  6. Step 6: Final answer
    x = 70,117.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.