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Finding the Third Proportional to 46,476 and 71,813

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Solution

The third proportional to 46,476 and 71,813 is: 110,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,476 : 71,813 = 71,813 : x
  2. Step 2: Convert to fraction form
    46,476/71,813 = 71,813/x
  3. Step 3: Cross multiply
    46,476x = 71,813 × 71,813
  4. Step 4: Simplify right side
    46,476x = 5,157,106,969
  5. Step 5: Solve for x
    x = 5,157,106,969/46,476
  6. Step 6: Final answer
    x = 110,962.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.