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Finding the Third Proportional to 37,017 and 57,332.81

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Solution

The third proportional to 37,017 and 57,332.81 is: 88,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,017 : 57,332.81 = 57,332.81 : x
  2. Step 2: Convert to fraction form
    37,017/57,332.81 = 57,332.81/x
  3. Step 3: Cross multiply
    37,017x = 57,332.81 × 57,332.81
  4. Step 4: Simplify right side
    37,017x = 3,287,051,389.16
  5. Step 5: Solve for x
    x = 3,287,051,389.16/37,017
  6. Step 6: Final answer
    x = 88,798.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.