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Finding the Third Proportional to 46,472 and 70,284

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Solution

The third proportional to 46,472 and 70,284 is: 106,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,472 : 70,284 = 70,284 : x
  2. Step 2: Convert to fraction form
    46,472/70,284 = 70,284/x
  3. Step 3: Cross multiply
    46,472x = 70,284 × 70,284
  4. Step 4: Simplify right side
    46,472x = 4,939,840,656
  5. Step 5: Solve for x
    x = 4,939,840,656/46,472
  6. Step 6: Final answer
    x = 106,297.14

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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.