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Finding the Third Proportional to 46,206 and 69,637.50

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Solution

The third proportional to 46,206 and 69,637.50 is: 104,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206 : 69,637.50 = 69,637.50 : x
  2. Step 2: Convert to fraction form
    46,206/69,637.50 = 69,637.50/x
  3. Step 3: Cross multiply
    46,206x = 69,637.50 × 69,637.50
  4. Step 4: Simplify right side
    46,206x = 4,849,381,406.25
  5. Step 5: Solve for x
    x = 4,849,381,406.25/46,206
  6. Step 6: Final answer
    x = 104,951.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.