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Finding the Third Proportional to 45,292.88 and 66,607.31

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Solution

The third proportional to 45,292.88 and 66,607.31 is: 97,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,292.88 : 66,607.31 = 66,607.31 : x
  2. Step 2: Convert to fraction form
    45,292.88/66,607.31 = 66,607.31/x
  3. Step 3: Cross multiply
    45,292.88x = 66,607.31 × 66,607.31
  4. Step 4: Simplify right side
    45,292.88x = 4,436,534,078.47
  5. Step 5: Solve for x
    x = 4,436,534,078.47/45,292.88
  6. Step 6: Final answer
    x = 97,952.14

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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.