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Finding the Third Proportional to 15,681.09 and 32,448.09

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Solution

The third proportional to 15,681.09 and 32,448.09 is: 67,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.09 : 32,448.09 = 32,448.09 : x
  2. Step 2: Convert to fraction form
    15,681.09/32,448.09 = 32,448.09/x
  3. Step 3: Cross multiply
    15,681.09x = 32,448.09 × 32,448.09
  4. Step 4: Simplify right side
    15,681.09x = 1,052,878,788.01
  5. Step 5: Solve for x
    x = 1,052,878,788.01/15,681.09
  6. Step 6: Final answer
    x = 67,143.20

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.