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Finding the Third Proportional to 28,899 and 45,772.50

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Solution

The third proportional to 28,899 and 45,772.50 is: 72,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,899 : 45,772.50 = 45,772.50 : x
  2. Step 2: Convert to fraction form
    28,899/45,772.50 = 45,772.50/x
  3. Step 3: Cross multiply
    28,899x = 45,772.50 × 45,772.50
  4. Step 4: Simplify right side
    28,899x = 2,095,121,756.25
  5. Step 5: Solve for x
    x = 2,095,121,756.25/28,899
  6. Step 6: Final answer
    x = 72,498.07

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.