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Finding the Third Proportional to 46,988 and 70,504

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Solution

The third proportional to 46,988 and 70,504 is: 105,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,988 : 70,504 = 70,504 : x
  2. Step 2: Convert to fraction form
    46,988/70,504 = 70,504/x
  3. Step 3: Cross multiply
    46,988x = 70,504 × 70,504
  4. Step 4: Simplify right side
    46,988x = 4,970,814,016
  5. Step 5: Solve for x
    x = 4,970,814,016/46,988
  6. Step 6: Final answer
    x = 105,789.01

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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.