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Finding the Third Proportional to 40,897.50 and 55,509

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Solution

The third proportional to 40,897.50 and 55,509 is: 75,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,897.50 : 55,509 = 55,509 : x
  2. Step 2: Convert to fraction form
    40,897.50/55,509 = 55,509/x
  3. Step 3: Cross multiply
    40,897.50x = 55,509 × 55,509
  4. Step 4: Simplify right side
    40,897.50x = 3,081,249,081
  5. Step 5: Solve for x
    x = 3,081,249,081/40,897.50
  6. Step 6: Final answer
    x = 75,340.77

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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.