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Finding the Third Proportional to 46,017 and 67,509

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Solution

The third proportional to 46,017 and 67,509 is: 99,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,017 : 67,509 = 67,509 : x
  2. Step 2: Convert to fraction form
    46,017/67,509 = 67,509/x
  3. Step 3: Cross multiply
    46,017x = 67,509 × 67,509
  4. Step 4: Simplify right side
    46,017x = 4,557,465,081
  5. Step 5: Solve for x
    x = 4,557,465,081/46,017
  6. Step 6: Final answer
    x = 99,038.73

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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.