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Finding the Third Proportional to 9,137.81 and 14,473.69

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Solution

The third proportional to 9,137.81 and 14,473.69 is: 22,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.81 : 14,473.69 = 14,473.69 : x
  2. Step 2: Convert to fraction form
    9,137.81/14,473.69 = 14,473.69/x
  3. Step 3: Cross multiply
    9,137.81x = 14,473.69 × 14,473.69
  4. Step 4: Simplify right side
    9,137.81x = 209,487,629.85
  5. Step 5: Solve for x
    x = 209,487,629.85/9,137.81
  6. Step 6: Final answer
    x = 22,925.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.