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Finding the Third Proportional to 22,031.25 and 42,952.50

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Solution

The third proportional to 22,031.25 and 42,952.50 is: 83,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.25 : 42,952.50 = 42,952.50 : x
  2. Step 2: Convert to fraction form
    22,031.25/42,952.50 = 42,952.50/x
  3. Step 3: Cross multiply
    22,031.25x = 42,952.50 × 42,952.50
  4. Step 4: Simplify right side
    22,031.25x = 1,844,917,256.25
  5. Step 5: Solve for x
    x = 1,844,917,256.25/22,031.25
  6. Step 6: Final answer
    x = 83,740.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.