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Finding the Third Proportional to 28,017 and 35,545.50

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Solution

The third proportional to 28,017 and 35,545.50 is: 45,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,017 : 35,545.50 = 35,545.50 : x
  2. Step 2: Convert to fraction form
    28,017/35,545.50 = 35,545.50/x
  3. Step 3: Cross multiply
    28,017x = 35,545.50 × 35,545.50
  4. Step 4: Simplify right side
    28,017x = 1,263,482,570.25
  5. Step 5: Solve for x
    x = 1,263,482,570.25/28,017
  6. Step 6: Final answer
    x = 45,097.00

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.