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Finding the Third Proportional to 45,304.31 and 66,569.50

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Solution

The third proportional to 45,304.31 and 66,569.50 is: 97,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,304.31 : 66,569.50 = 66,569.50 : x
  2. Step 2: Convert to fraction form
    45,304.31/66,569.50 = 66,569.50/x
  3. Step 3: Cross multiply
    45,304.31x = 66,569.50 × 66,569.50
  4. Step 4: Simplify right side
    45,304.31x = 4,431,498,590.29
  5. Step 5: Solve for x
    x = 4,431,498,590.29/45,304.31
  6. Step 6: Final answer
    x = 97,816.26

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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.