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Finding the Third Proportional to 32,822.25 and 70,315.13

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Solution

The third proportional to 32,822.25 and 70,315.13 is: 150,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822.25 : 70,315.13 = 70,315.13 : x
  2. Step 2: Convert to fraction form
    32,822.25/70,315.13 = 70,315.13/x
  3. Step 3: Cross multiply
    32,822.25x = 70,315.13 × 70,315.13
  4. Step 4: Simplify right side
    32,822.25x = 4,944,216,803.77
  5. Step 5: Solve for x
    x = 4,944,216,803.77/32,822.25
  6. Step 6: Final answer
    x = 150,636.13

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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.