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Finding the Third Proportional to 15,476.30 and 23,248.62

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Solution

The third proportional to 15,476.30 and 23,248.62 is: 34,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476.30 : 23,248.62 = 23,248.62 : x
  2. Step 2: Convert to fraction form
    15,476.30/23,248.62 = 23,248.62/x
  3. Step 3: Cross multiply
    15,476.30x = 23,248.62 × 23,248.62
  4. Step 4: Simplify right side
    15,476.30x = 540,498,405.46
  5. Step 5: Solve for x
    x = 540,498,405.46/15,476.30
  6. Step 6: Final answer
    x = 34,924.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.