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Finding the Third Proportional to 46,510 and 69,583

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Solution

The third proportional to 46,510 and 69,583 is: 104,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,510 : 69,583 = 69,583 : x
  2. Step 2: Convert to fraction form
    46,510/69,583 = 69,583/x
  3. Step 3: Cross multiply
    46,510x = 69,583 × 69,583
  4. Step 4: Simplify right side
    46,510x = 4,841,793,889
  5. Step 5: Solve for x
    x = 4,841,793,889/46,510
  6. Step 6: Final answer
    x = 104,102.21

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Why These Related Problems?

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