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Finding the Third Proportional to 44,782.50 and 69,897.75

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Solution

The third proportional to 44,782.50 and 69,897.75 is: 109,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,782.50 : 69,897.75 = 69,897.75 : x
  2. Step 2: Convert to fraction form
    44,782.50/69,897.75 = 69,897.75/x
  3. Step 3: Cross multiply
    44,782.50x = 69,897.75 × 69,897.75
  4. Step 4: Simplify right side
    44,782.50x = 4,885,695,455.06
  5. Step 5: Solve for x
    x = 4,885,695,455.06/44,782.50
  6. Step 6: Final answer
    x = 109,098.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.