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Finding the Third Proportional to 14,445 and 19,588.50

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Solution

The third proportional to 14,445 and 19,588.50 is: 26,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 19,588.50 = 19,588.50 : x
  2. Step 2: Convert to fraction form
    14,445/19,588.50 = 19,588.50/x
  3. Step 3: Cross multiply
    14,445x = 19,588.50 × 19,588.50
  4. Step 4: Simplify right side
    14,445x = 383,709,332.25
  5. Step 5: Solve for x
    x = 383,709,332.25/14,445
  6. Step 6: Final answer
    x = 26,563.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.