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Finding the Third Proportional to 30,897 and 46,239

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Solution

The third proportional to 30,897 and 46,239 is: 69,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897 : 46,239 = 46,239 : x
  2. Step 2: Convert to fraction form
    30,897/46,239 = 46,239/x
  3. Step 3: Cross multiply
    30,897x = 46,239 × 46,239
  4. Step 4: Simplify right side
    30,897x = 2,138,045,121
  5. Step 5: Solve for x
    x = 2,138,045,121/30,897
  6. Step 6: Final answer
    x = 69,199.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.