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Finding the Third Proportional to 30,359 and 45,963

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Solution

The third proportional to 30,359 and 45,963 is: 69,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,359 : 45,963 = 45,963 : x
  2. Step 2: Convert to fraction form
    30,359/45,963 = 45,963/x
  3. Step 3: Cross multiply
    30,359x = 45,963 × 45,963
  4. Step 4: Simplify right side
    30,359x = 2,112,597,369
  5. Step 5: Solve for x
    x = 2,112,597,369/30,359
  6. Step 6: Final answer
    x = 69,587.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.