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Finding the Third Proportional to 30,688 and 45,025

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Solution

The third proportional to 30,688 and 45,025 is: 66,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688 : 45,025 = 45,025 : x
  2. Step 2: Convert to fraction form
    30,688/45,025 = 45,025/x
  3. Step 3: Cross multiply
    30,688x = 45,025 × 45,025
  4. Step 4: Simplify right side
    30,688x = 2,027,250,625
  5. Step 5: Solve for x
    x = 2,027,250,625/30,688
  6. Step 6: Final answer
    x = 66,060.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.