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Finding the Third Proportional to 28,445 and 61,534

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Solution

The third proportional to 28,445 and 61,534 is: 133,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,445 : 61,534 = 61,534 : x
  2. Step 2: Convert to fraction form
    28,445/61,534 = 61,534/x
  3. Step 3: Cross multiply
    28,445x = 61,534 × 61,534
  4. Step 4: Simplify right side
    28,445x = 3,786,433,156
  5. Step 5: Solve for x
    x = 3,786,433,156/28,445
  6. Step 6: Final answer
    x = 133,114.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.