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Finding the Third Proportional to 49,576 and 69,342

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Solution

The third proportional to 49,576 and 69,342 is: 96,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,576 : 69,342 = 69,342 : x
  2. Step 2: Convert to fraction form
    49,576/69,342 = 69,342/x
  3. Step 3: Cross multiply
    49,576x = 69,342 × 69,342
  4. Step 4: Simplify right side
    49,576x = 4,808,312,964
  5. Step 5: Solve for x
    x = 4,808,312,964/49,576
  6. Step 6: Final answer
    x = 96,988.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.