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Finding the Third Proportional to 22,159.69 and 47,432.81

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Solution

The third proportional to 22,159.69 and 47,432.81 is: 101,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.69 : 47,432.81 = 47,432.81 : x
  2. Step 2: Convert to fraction form
    22,159.69/47,432.81 = 47,432.81/x
  3. Step 3: Cross multiply
    22,159.69x = 47,432.81 × 47,432.81
  4. Step 4: Simplify right side
    22,159.69x = 2,249,871,701.66
  5. Step 5: Solve for x
    x = 2,249,871,701.66/22,159.69
  6. Step 6: Final answer
    x = 101,529.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.