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Finding the Third Proportional to 31,038 and 46,854

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Solution

The third proportional to 31,038 and 46,854 is: 70,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038 : 46,854 = 46,854 : x
  2. Step 2: Convert to fraction form
    31,038/46,854 = 46,854/x
  3. Step 3: Cross multiply
    31,038x = 46,854 × 46,854
  4. Step 4: Simplify right side
    31,038x = 2,195,297,316
  5. Step 5: Solve for x
    x = 2,195,297,316/31,038
  6. Step 6: Final answer
    x = 70,729.34

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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.