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Finding the Third Proportional to 29,516.06 and 63,698.06

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Solution

The third proportional to 29,516.06 and 63,698.06 is: 137,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,516.06 : 63,698.06 = 63,698.06 : x
  2. Step 2: Convert to fraction form
    29,516.06/63,698.06 = 63,698.06/x
  3. Step 3: Cross multiply
    29,516.06x = 63,698.06 × 63,698.06
  4. Step 4: Simplify right side
    29,516.06x = 4,057,443,166.25
  5. Step 5: Solve for x
    x = 4,057,443,166.25/29,516.06
  6. Step 6: Final answer
    x = 137,465.60

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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.