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Finding the Third Proportional to 54,827.53 and 82,646.34

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Solution

The third proportional to 54,827.53 and 82,646.34 is: 124,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,827.53 : 82,646.34 = 82,646.34 : x
  2. Step 2: Convert to fraction form
    54,827.53/82,646.34 = 82,646.34/x
  3. Step 3: Cross multiply
    54,827.53x = 82,646.34 × 82,646.34
  4. Step 4: Simplify right side
    54,827.53x = 6,830,418,135.24
  5. Step 5: Solve for x
    x = 6,830,418,135.24/54,827.53
  6. Step 6: Final answer
    x = 124,580.08

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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.