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Finding the Third Proportional to 30,471 and 46,294.50

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Solution

The third proportional to 30,471 and 46,294.50 is: 70,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471 : 46,294.50 = 46,294.50 : x
  2. Step 2: Convert to fraction form
    30,471/46,294.50 = 46,294.50/x
  3. Step 3: Cross multiply
    30,471x = 46,294.50 × 46,294.50
  4. Step 4: Simplify right side
    30,471x = 2,143,180,730.25
  5. Step 5: Solve for x
    x = 2,143,180,730.25/30,471
  6. Step 6: Final answer
    x = 70,335.10

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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.