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Finding the Third Proportional to 8,798.50 and 13,931.25

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Solution

The third proportional to 8,798.50 and 13,931.25 is: 22,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,798.50 : 13,931.25 = 13,931.25 : x
  2. Step 2: Convert to fraction form
    8,798.50/13,931.25 = 13,931.25/x
  3. Step 3: Cross multiply
    8,798.50x = 13,931.25 × 13,931.25
  4. Step 4: Simplify right side
    8,798.50x = 194,079,726.56
  5. Step 5: Solve for x
    x = 194,079,726.56/8,798.50
  6. Step 6: Final answer
    x = 22,058.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.