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Finding the Third Proportional to 45,569 and 66,835

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Solution

The third proportional to 45,569 and 66,835 is: 98,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,569 : 66,835 = 66,835 : x
  2. Step 2: Convert to fraction form
    45,569/66,835 = 66,835/x
  3. Step 3: Cross multiply
    45,569x = 66,835 × 66,835
  4. Step 4: Simplify right side
    45,569x = 4,466,917,225
  5. Step 5: Solve for x
    x = 4,466,917,225/45,569
  6. Step 6: Final answer
    x = 98,025.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.