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Finding the Third Proportional to 32,039.44 and 70,248.94

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Solution

The third proportional to 32,039.44 and 70,248.94 is: 154,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.44 : 70,248.94 = 70,248.94 : x
  2. Step 2: Convert to fraction form
    32,039.44/70,248.94 = 70,248.94/x
  3. Step 3: Cross multiply
    32,039.44x = 70,248.94 × 70,248.94
  4. Step 4: Simplify right side
    32,039.44x = 4,934,913,219.88
  5. Step 5: Solve for x
    x = 4,934,913,219.88/32,039.44
  6. Step 6: Final answer
    x = 154,026.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.