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Finding the Third Proportional to 14,454.70 and 22,655.95

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Solution

The third proportional to 14,454.70 and 22,655.95 is: 35,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.70 : 22,655.95 = 22,655.95 : x
  2. Step 2: Convert to fraction form
    14,454.70/22,655.95 = 22,655.95/x
  3. Step 3: Cross multiply
    14,454.70x = 22,655.95 × 22,655.95
  4. Step 4: Simplify right side
    14,454.70x = 513,292,212.00
  5. Step 5: Solve for x
    x = 513,292,212.00/14,454.70
  6. Step 6: Final answer
    x = 35,510.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.