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Finding the Third Proportional to 30,136 and 53,792

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Solution

The third proportional to 30,136 and 53,792 is: 96,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136 : 53,792 = 53,792 : x
  2. Step 2: Convert to fraction form
    30,136/53,792 = 53,792/x
  3. Step 3: Cross multiply
    30,136x = 53,792 × 53,792
  4. Step 4: Simplify right side
    30,136x = 2,893,579,264
  5. Step 5: Solve for x
    x = 2,893,579,264/30,136
  6. Step 6: Final answer
    x = 96,017.36

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.