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Finding the Third Proportional to 30,682.13 and 45,011.53

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Solution

The third proportional to 30,682.13 and 45,011.53 is: 66,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.13 : 45,011.53 = 45,011.53 : x
  2. Step 2: Convert to fraction form
    30,682.13/45,011.53 = 45,011.53/x
  3. Step 3: Cross multiply
    30,682.13x = 45,011.53 × 45,011.53
  4. Step 4: Simplify right side
    30,682.13x = 2,026,037,945.47
  5. Step 5: Solve for x
    x = 2,026,037,945.47/30,682.13
  6. Step 6: Final answer
    x = 66,033.17

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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.