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Finding the Third Proportional to 32,017 and 46,987

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Solution

The third proportional to 32,017 and 46,987 is: 68,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017 : 46,987 = 46,987 : x
  2. Step 2: Convert to fraction form
    32,017/46,987 = 46,987/x
  3. Step 3: Cross multiply
    32,017x = 46,987 × 46,987
  4. Step 4: Simplify right side
    32,017x = 2,207,778,169
  5. Step 5: Solve for x
    x = 2,207,778,169/32,017
  6. Step 6: Final answer
    x = 68,956.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.