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Finding the Third Proportional to 44,897.50 and 70,431

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Solution

The third proportional to 44,897.50 and 70,431 is: 110,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,897.50 : 70,431 = 70,431 : x
  2. Step 2: Convert to fraction form
    44,897.50/70,431 = 70,431/x
  3. Step 3: Cross multiply
    44,897.50x = 70,431 × 70,431
  4. Step 4: Simplify right side
    44,897.50x = 4,960,525,761
  5. Step 5: Solve for x
    x = 4,960,525,761/44,897.50
  6. Step 6: Final answer
    x = 110,485.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.