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Finding the Third Proportional to 14,584 and 31,478

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Solution

The third proportional to 14,584 and 31,478 is: 67,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584 : 31,478 = 31,478 : x
  2. Step 2: Convert to fraction form
    14,584/31,478 = 31,478/x
  3. Step 3: Cross multiply
    14,584x = 31,478 × 31,478
  4. Step 4: Simplify right side
    14,584x = 990,864,484
  5. Step 5: Solve for x
    x = 990,864,484/14,584
  6. Step 6: Final answer
    x = 67,941.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.