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Finding the Third Proportional to 30,477 and 46,038

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Solution

The third proportional to 30,477 and 46,038 is: 69,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477 : 46,038 = 46,038 : x
  2. Step 2: Convert to fraction form
    30,477/46,038 = 46,038/x
  3. Step 3: Cross multiply
    30,477x = 46,038 × 46,038
  4. Step 4: Simplify right side
    30,477x = 2,119,497,444
  5. Step 5: Solve for x
    x = 2,119,497,444/30,477
  6. Step 6: Final answer
    x = 69,544.16

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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.