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Finding the Third Proportional to 19,245 and 28,588.50

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Solution

The third proportional to 19,245 and 28,588.50 is: 42,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,245 : 28,588.50 = 28,588.50 : x
  2. Step 2: Convert to fraction form
    19,245/28,588.50 = 28,588.50/x
  3. Step 3: Cross multiply
    19,245x = 28,588.50 × 28,588.50
  4. Step 4: Simplify right side
    19,245x = 817,302,332.25
  5. Step 5: Solve for x
    x = 817,302,332.25/19,245
  6. Step 6: Final answer
    x = 42,468.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.