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Finding the Third Proportional to 45,053 and 64,897

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Solution

The third proportional to 45,053 and 64,897 is: 93,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,053 : 64,897 = 64,897 : x
  2. Step 2: Convert to fraction form
    45,053/64,897 = 64,897/x
  3. Step 3: Cross multiply
    45,053x = 64,897 × 64,897
  4. Step 4: Simplify right side
    45,053x = 4,211,620,609
  5. Step 5: Solve for x
    x = 4,211,620,609/45,053
  6. Step 6: Final answer
    x = 93,481.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.