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Finding the Third Proportional to 46,996 and 70,476

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Solution

The third proportional to 46,996 and 70,476 is: 105,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,996 : 70,476 = 70,476 : x
  2. Step 2: Convert to fraction form
    46,996/70,476 = 70,476/x
  3. Step 3: Cross multiply
    46,996x = 70,476 × 70,476
  4. Step 4: Simplify right side
    46,996x = 4,966,866,576
  5. Step 5: Solve for x
    x = 4,966,866,576/46,996
  6. Step 6: Final answer
    x = 105,687.01

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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.