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Finding the Third Proportional to 46,953 and 64,573

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Solution

The third proportional to 46,953 and 64,573 is: 88,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,953 : 64,573 = 64,573 : x
  2. Step 2: Convert to fraction form
    46,953/64,573 = 64,573/x
  3. Step 3: Cross multiply
    46,953x = 64,573 × 64,573
  4. Step 4: Simplify right side
    46,953x = 4,169,672,329
  5. Step 5: Solve for x
    x = 4,169,672,329/46,953
  6. Step 6: Final answer
    x = 88,805.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.