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Finding the Third Proportional to 15,297.19 and 32,432.06

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Solution

The third proportional to 15,297.19 and 32,432.06 is: 68,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.19 : 32,432.06 = 32,432.06 : x
  2. Step 2: Convert to fraction form
    15,297.19/32,432.06 = 32,432.06/x
  3. Step 3: Cross multiply
    15,297.19x = 32,432.06 × 32,432.06
  4. Step 4: Simplify right side
    15,297.19x = 1,051,838,678.00
  5. Step 5: Solve for x
    x = 1,051,838,678.00/15,297.19
  6. Step 6: Final answer
    x = 68,760.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.