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Finding the Third Proportional to 45,453 and 66,154.50

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Solution

The third proportional to 45,453 and 66,154.50 is: 96,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,453 : 66,154.50 = 66,154.50 : x
  2. Step 2: Convert to fraction form
    45,453/66,154.50 = 66,154.50/x
  3. Step 3: Cross multiply
    45,453x = 66,154.50 × 66,154.50
  4. Step 4: Simplify right side
    45,453x = 4,376,417,870.25
  5. Step 5: Solve for x
    x = 4,376,417,870.25/45,453
  6. Step 6: Final answer
    x = 96,284.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.