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Finding the Third Proportional to 28,465 and 61,853

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Solution

The third proportional to 28,465 and 61,853 is: 134,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,465 : 61,853 = 61,853 : x
  2. Step 2: Convert to fraction form
    28,465/61,853 = 61,853/x
  3. Step 3: Cross multiply
    28,465x = 61,853 × 61,853
  4. Step 4: Simplify right side
    28,465x = 3,825,793,609
  5. Step 5: Solve for x
    x = 3,825,793,609/28,465
  6. Step 6: Final answer
    x = 134,403.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.