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Finding the Third Proportional to 29,456.51 and 63,582.11

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Solution

The third proportional to 29,456.51 and 63,582.11 is: 137,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,456.51 : 63,582.11 = 63,582.11 : x
  2. Step 2: Convert to fraction form
    29,456.51/63,582.11 = 63,582.11/x
  3. Step 3: Cross multiply
    29,456.51x = 63,582.11 × 63,582.11
  4. Step 4: Simplify right side
    29,456.51x = 4,042,685,067.22
  5. Step 5: Solve for x
    x = 4,042,685,067.22/29,456.51
  6. Step 6: Final answer
    x = 137,242.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.