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Finding the Third Proportional to 30,887 and 67,438

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Solution

The third proportional to 30,887 and 67,438 is: 147,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,887 : 67,438 = 67,438 : x
  2. Step 2: Convert to fraction form
    30,887/67,438 = 67,438/x
  3. Step 3: Cross multiply
    30,887x = 67,438 × 67,438
  4. Step 4: Simplify right side
    30,887x = 4,547,883,844
  5. Step 5: Solve for x
    x = 4,547,883,844/30,887
  6. Step 6: Final answer
    x = 147,242.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.