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Finding the Third Proportional to 46,502 and 67,484

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Solution

The third proportional to 46,502 and 67,484 is: 97,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,502 : 67,484 = 67,484 : x
  2. Step 2: Convert to fraction form
    46,502/67,484 = 67,484/x
  3. Step 3: Cross multiply
    46,502x = 67,484 × 67,484
  4. Step 4: Simplify right side
    46,502x = 4,554,090,256
  5. Step 5: Solve for x
    x = 4,554,090,256/46,502
  6. Step 6: Final answer
    x = 97,933.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.