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Finding the Third Proportional to 46,692 and 72,417

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Solution

The third proportional to 46,692 and 72,417 is: 112,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,692 : 72,417 = 72,417 : x
  2. Step 2: Convert to fraction form
    46,692/72,417 = 72,417/x
  3. Step 3: Cross multiply
    46,692x = 72,417 × 72,417
  4. Step 4: Simplify right side
    46,692x = 5,244,221,889
  5. Step 5: Solve for x
    x = 5,244,221,889/46,692
  6. Step 6: Final answer
    x = 112,315.21

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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.