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Finding the Third Proportional to 14,386.50 and 22,223.25

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Solution

The third proportional to 14,386.50 and 22,223.25 is: 34,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.50 : 22,223.25 = 22,223.25 : x
  2. Step 2: Convert to fraction form
    14,386.50/22,223.25 = 22,223.25/x
  3. Step 3: Cross multiply
    14,386.50x = 22,223.25 × 22,223.25
  4. Step 4: Simplify right side
    14,386.50x = 493,872,840.56
  5. Step 5: Solve for x
    x = 493,872,840.56/14,386.50
  6. Step 6: Final answer
    x = 34,328.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.