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Finding the Third Proportional to 31,484 and 46,220

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Solution

The third proportional to 31,484 and 46,220 is: 67,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,484 : 46,220 = 46,220 : x
  2. Step 2: Convert to fraction form
    31,484/46,220 = 46,220/x
  3. Step 3: Cross multiply
    31,484x = 46,220 × 46,220
  4. Step 4: Simplify right side
    31,484x = 2,136,288,400
  5. Step 5: Solve for x
    x = 2,136,288,400/31,484
  6. Step 6: Final answer
    x = 67,853.14

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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.