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Finding the Third Proportional to 19,973.25 and 29,696.63

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Solution

The third proportional to 19,973.25 and 29,696.63 is: 44,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973.25 : 29,696.63 = 29,696.63 : x
  2. Step 2: Convert to fraction form
    19,973.25/29,696.63 = 29,696.63/x
  3. Step 3: Cross multiply
    19,973.25x = 29,696.63 × 29,696.63
  4. Step 4: Simplify right side
    19,973.25x = 881,889,536.39
  5. Step 5: Solve for x
    x = 881,889,536.39/19,973.25
  6. Step 6: Final answer
    x = 44,153.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.