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Finding the Third Proportional to 45,726 and 64,053

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Solution

The third proportional to 45,726 and 64,053 is: 89,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,726 : 64,053 = 64,053 : x
  2. Step 2: Convert to fraction form
    45,726/64,053 = 64,053/x
  3. Step 3: Cross multiply
    45,726x = 64,053 × 64,053
  4. Step 4: Simplify right side
    45,726x = 4,102,786,809
  5. Step 5: Solve for x
    x = 4,102,786,809/45,726
  6. Step 6: Final answer
    x = 89,725.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.