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Finding the Third Proportional to 19,700.44 and 29,570.63

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Solution

The third proportional to 19,700.44 and 29,570.63 is: 44,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.44 : 29,570.63 = 29,570.63 : x
  2. Step 2: Convert to fraction form
    19,700.44/29,570.63 = 29,570.63/x
  3. Step 3: Cross multiply
    19,700.44x = 29,570.63 × 29,570.63
  4. Step 4: Simplify right side
    19,700.44x = 874,421,862.89
  5. Step 5: Solve for x
    x = 874,421,862.89/19,700.44
  6. Step 6: Final answer
    x = 44,385.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.