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Finding the Third Proportional to 28,735 and 45,695

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Solution

The third proportional to 28,735 and 45,695 is: 72,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,735 : 45,695 = 45,695 : x
  2. Step 2: Convert to fraction form
    28,735/45,695 = 45,695/x
  3. Step 3: Cross multiply
    28,735x = 45,695 × 45,695
  4. Step 4: Simplify right side
    28,735x = 2,088,033,025
  5. Step 5: Solve for x
    x = 2,088,033,025/28,735
  6. Step 6: Final answer
    x = 72,665.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.