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Finding the Third Proportional to 46,946 and 70,426

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Solution

The third proportional to 46,946 and 70,426 is: 105,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,946 : 70,426 = 70,426 : x
  2. Step 2: Convert to fraction form
    46,946/70,426 = 70,426/x
  3. Step 3: Cross multiply
    46,946x = 70,426 × 70,426
  4. Step 4: Simplify right side
    46,946x = 4,959,821,476
  5. Step 5: Solve for x
    x = 4,959,821,476/46,946
  6. Step 6: Final answer
    x = 105,649.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.