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Finding the Third Proportional to 30,822.19 and 45,261.28

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Solution

The third proportional to 30,822.19 and 45,261.28 is: 66,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.19 : 45,261.28 = 45,261.28 : x
  2. Step 2: Convert to fraction form
    30,822.19/45,261.28 = 45,261.28/x
  3. Step 3: Cross multiply
    30,822.19x = 45,261.28 × 45,261.28
  4. Step 4: Simplify right side
    30,822.19x = 2,048,583,580.39
  5. Step 5: Solve for x
    x = 2,048,583,580.39/30,822.19
  6. Step 6: Final answer
    x = 66,464.57

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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.