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Finding the Third Proportional to 46,988 and 69,184

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Solution

The third proportional to 46,988 and 69,184 is: 101,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,988 : 69,184 = 69,184 : x
  2. Step 2: Convert to fraction form
    46,988/69,184 = 69,184/x
  3. Step 3: Cross multiply
    46,988x = 69,184 × 69,184
  4. Step 4: Simplify right side
    46,988x = 4,786,425,856
  5. Step 5: Solve for x
    x = 4,786,425,856/46,988
  6. Step 6: Final answer
    x = 101,864.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.