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Finding the Third Proportional to 30,585 and 45,309

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Solution

The third proportional to 30,585 and 45,309 is: 67,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585 : 45,309 = 45,309 : x
  2. Step 2: Convert to fraction form
    30,585/45,309 = 45,309/x
  3. Step 3: Cross multiply
    30,585x = 45,309 × 45,309
  4. Step 4: Simplify right side
    30,585x = 2,052,905,481
  5. Step 5: Solve for x
    x = 2,052,905,481/30,585
  6. Step 6: Final answer
    x = 67,121.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.