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Finding the Third Proportional to 43,654.50 and 93,681

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Solution

The third proportional to 43,654.50 and 93,681 is: 201,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,654.50 : 93,681 = 93,681 : x
  2. Step 2: Convert to fraction form
    43,654.50/93,681 = 93,681/x
  3. Step 3: Cross multiply
    43,654.50x = 93,681 × 93,681
  4. Step 4: Simplify right side
    43,654.50x = 8,776,129,761
  5. Step 5: Solve for x
    x = 8,776,129,761/43,654.50
  6. Step 6: Final answer
    x = 201,036.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.