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Finding the Third Proportional to 46,136 and 58,953

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Solution

The third proportional to 46,136 and 58,953 is: 75,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,136 : 58,953 = 58,953 : x
  2. Step 2: Convert to fraction form
    46,136/58,953 = 58,953/x
  3. Step 3: Cross multiply
    46,136x = 58,953 × 58,953
  4. Step 4: Simplify right side
    46,136x = 3,475,456,209
  5. Step 5: Solve for x
    x = 3,475,456,209/46,136
  6. Step 6: Final answer
    x = 75,330.68

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.