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Finding the Third Proportional to 31,650 and 46,987

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Solution

The third proportional to 31,650 and 46,987 is: 69,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650 : 46,987 = 46,987 : x
  2. Step 2: Convert to fraction form
    31,650/46,987 = 46,987/x
  3. Step 3: Cross multiply
    31,650x = 46,987 × 46,987
  4. Step 4: Simplify right side
    31,650x = 2,207,778,169
  5. Step 5: Solve for x
    x = 2,207,778,169/31,650
  6. Step 6: Final answer
    x = 69,756.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.