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Finding the Third Proportional to 8,973.56 and 19,756.13

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Solution

The third proportional to 8,973.56 and 19,756.13 is: 43,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.56 : 19,756.13 = 19,756.13 : x
  2. Step 2: Convert to fraction form
    8,973.56/19,756.13 = 19,756.13/x
  3. Step 3: Cross multiply
    8,973.56x = 19,756.13 × 19,756.13
  4. Step 4: Simplify right side
    8,973.56x = 390,304,475.02
  5. Step 5: Solve for x
    x = 390,304,475.02/8,973.56
  6. Step 6: Final answer
    x = 43,494.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.