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Finding the Third Proportional to 19,319.50 and 29,384.50

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Solution

The third proportional to 19,319.50 and 29,384.50 is: 44,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,319.50 : 29,384.50 = 29,384.50 : x
  2. Step 2: Convert to fraction form
    19,319.50/29,384.50 = 29,384.50/x
  3. Step 3: Cross multiply
    19,319.50x = 29,384.50 × 29,384.50
  4. Step 4: Simplify right side
    19,319.50x = 863,448,840.25
  5. Step 5: Solve for x
    x = 863,448,840.25/19,319.50
  6. Step 6: Final answer
    x = 44,693.13

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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.