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Finding the Third Proportional to 19,664.02 and 42,031.41

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Solution

The third proportional to 19,664.02 and 42,031.41 is: 89,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.02 : 42,031.41 = 42,031.41 : x
  2. Step 2: Convert to fraction form
    19,664.02/42,031.41 = 42,031.41/x
  3. Step 3: Cross multiply
    19,664.02x = 42,031.41 × 42,031.41
  4. Step 4: Simplify right side
    19,664.02x = 1,766,639,111.35
  5. Step 5: Solve for x
    x = 1,766,639,111.35/19,664.02
  6. Step 6: Final answer
    x = 89,841.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.