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Finding the Third Proportional to 19,472 and 29,592.50

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Solution

The third proportional to 19,472 and 29,592.50 is: 44,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472 : 29,592.50 = 29,592.50 : x
  2. Step 2: Convert to fraction form
    19,472/29,592.50 = 29,592.50/x
  3. Step 3: Cross multiply
    19,472x = 29,592.50 × 29,592.50
  4. Step 4: Simplify right side
    19,472x = 875,716,056.25
  5. Step 5: Solve for x
    x = 875,716,056.25/19,472
  6. Step 6: Final answer
    x = 44,973.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.