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Finding the Third Proportional to 16,304.63 and 37,597.50

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Solution

The third proportional to 16,304.63 and 37,597.50 is: 86,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.63 : 37,597.50 = 37,597.50 : x
  2. Step 2: Convert to fraction form
    16,304.63/37,597.50 = 37,597.50/x
  3. Step 3: Cross multiply
    16,304.63x = 37,597.50 × 37,597.50
  4. Step 4: Simplify right side
    16,304.63x = 1,413,572,006.25
  5. Step 5: Solve for x
    x = 1,413,572,006.25/16,304.63
  6. Step 6: Final answer
    x = 86,697.61

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.