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Finding the Third Proportional to 44,352 and 66,989.81

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Solution

The third proportional to 44,352 and 66,989.81 is: 101,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,352 : 66,989.81 = 66,989.81 : x
  2. Step 2: Convert to fraction form
    44,352/66,989.81 = 66,989.81/x
  3. Step 3: Cross multiply
    44,352x = 66,989.81 × 66,989.81
  4. Step 4: Simplify right side
    44,352x = 4,487,634,978.79
  5. Step 5: Solve for x
    x = 4,487,634,978.79/44,352
  6. Step 6: Final answer
    x = 101,182.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.