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Finding the Third Proportional to 30,043 and 64,499

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Solution

The third proportional to 30,043 and 64,499 is: 138,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,043 : 64,499 = 64,499 : x
  2. Step 2: Convert to fraction form
    30,043/64,499 = 64,499/x
  3. Step 3: Cross multiply
    30,043x = 64,499 × 64,499
  4. Step 4: Simplify right side
    30,043x = 4,160,121,001
  5. Step 5: Solve for x
    x = 4,160,121,001/30,043
  6. Step 6: Final answer
    x = 138,472.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.