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Finding the Third Proportional to 46,513 and 63,693

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Solution

The third proportional to 46,513 and 63,693 is: 87,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,513 : 63,693 = 63,693 : x
  2. Step 2: Convert to fraction form
    46,513/63,693 = 63,693/x
  3. Step 3: Cross multiply
    46,513x = 63,693 × 63,693
  4. Step 4: Simplify right side
    46,513x = 4,056,798,249
  5. Step 5: Solve for x
    x = 4,056,798,249/46,513
  6. Step 6: Final answer
    x = 87,218.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.