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Finding the Third Proportional to 16,539.19 and 26,509.78

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Solution

The third proportional to 16,539.19 and 26,509.78 is: 42,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.19 : 26,509.78 = 26,509.78 : x
  2. Step 2: Convert to fraction form
    16,539.19/26,509.78 = 26,509.78/x
  3. Step 3: Cross multiply
    16,539.19x = 26,509.78 × 26,509.78
  4. Step 4: Simplify right side
    16,539.19x = 702,768,501.92
  5. Step 5: Solve for x
    x = 702,768,501.92/16,539.19
  6. Step 6: Final answer
    x = 42,491.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.