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Finding the Third Proportional to 27,688 and 42,988

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Solution

The third proportional to 27,688 and 42,988 is: 66,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688 : 42,988 = 42,988 : x
  2. Step 2: Convert to fraction form
    27,688/42,988 = 42,988/x
  3. Step 3: Cross multiply
    27,688x = 42,988 × 42,988
  4. Step 4: Simplify right side
    27,688x = 1,847,968,144
  5. Step 5: Solve for x
    x = 1,847,968,144/27,688
  6. Step 6: Final answer
    x = 66,742.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.