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Finding the Third Proportional to 14,675.77 and 22,293.77

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Solution

The third proportional to 14,675.77 and 22,293.77 is: 33,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.77 : 22,293.77 = 22,293.77 : x
  2. Step 2: Convert to fraction form
    14,675.77/22,293.77 = 22,293.77/x
  3. Step 3: Cross multiply
    14,675.77x = 22,293.77 × 22,293.77
  4. Step 4: Simplify right side
    14,675.77x = 497,012,334.08
  5. Step 5: Solve for x
    x = 497,012,334.08/14,675.77
  6. Step 6: Final answer
    x = 33,866.19

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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.