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Finding the Third Proportional to 45,329.63 and 66,612.38

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Solution

The third proportional to 45,329.63 and 66,612.38 is: 97,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,329.63 : 66,612.38 = 66,612.38 : x
  2. Step 2: Convert to fraction form
    45,329.63/66,612.38 = 66,612.38/x
  3. Step 3: Cross multiply
    45,329.63x = 66,612.38 × 66,612.38
  4. Step 4: Simplify right side
    45,329.63x = 4,437,208,503.14
  5. Step 5: Solve for x
    x = 4,437,208,503.14/45,329.63
  6. Step 6: Final answer
    x = 97,887.61

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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.