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Finding the Third Proportional to 15,248.25 and 32,159.53

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Solution

The third proportional to 15,248.25 and 32,159.53 is: 67,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,248.25 : 32,159.53 = 32,159.53 : x
  2. Step 2: Convert to fraction form
    15,248.25/32,159.53 = 32,159.53/x
  3. Step 3: Cross multiply
    15,248.25x = 32,159.53 × 32,159.53
  4. Step 4: Simplify right side
    15,248.25x = 1,034,235,450.22
  5. Step 5: Solve for x
    x = 1,034,235,450.22/15,248.25
  6. Step 6: Final answer
    x = 67,826.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.