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Finding the Third Proportional to 46,730 and 72,477

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Solution

The third proportional to 46,730 and 72,477 is: 112,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,730 : 72,477 = 72,477 : x
  2. Step 2: Convert to fraction form
    46,730/72,477 = 72,477/x
  3. Step 3: Cross multiply
    46,730x = 72,477 × 72,477
  4. Step 4: Simplify right side
    46,730x = 5,252,915,529
  5. Step 5: Solve for x
    x = 5,252,915,529/46,730
  6. Step 6: Final answer
    x = 112,409.92

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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.