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Finding the Third Proportional to 15,322.13 and 32,831.06

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Solution

The third proportional to 15,322.13 and 32,831.06 is: 70,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.13 : 32,831.06 = 32,831.06 : x
  2. Step 2: Convert to fraction form
    15,322.13/32,831.06 = 32,831.06/x
  3. Step 3: Cross multiply
    15,322.13x = 32,831.06 × 32,831.06
  4. Step 4: Simplify right side
    15,322.13x = 1,077,878,664.88
  5. Step 5: Solve for x
    x = 1,077,878,664.88/15,322.13
  6. Step 6: Final answer
    x = 70,347.86

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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.