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Finding the Third Proportional to 28,312 and 52,556

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Solution

The third proportional to 28,312 and 52,556 is: 97,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,312 : 52,556 = 52,556 : x
  2. Step 2: Convert to fraction form
    28,312/52,556 = 52,556/x
  3. Step 3: Cross multiply
    28,312x = 52,556 × 52,556
  4. Step 4: Simplify right side
    28,312x = 2,762,133,136
  5. Step 5: Solve for x
    x = 2,762,133,136/28,312
  6. Step 6: Final answer
    x = 97,560.51

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.