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Finding the Third Proportional to 9,098.06 and 19,893.28

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Solution

The third proportional to 9,098.06 and 19,893.28 is: 43,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.06 : 19,893.28 = 19,893.28 : x
  2. Step 2: Convert to fraction form
    9,098.06/19,893.28 = 19,893.28/x
  3. Step 3: Cross multiply
    9,098.06x = 19,893.28 × 19,893.28
  4. Step 4: Simplify right side
    9,098.06x = 395,742,638.89
  5. Step 5: Solve for x
    x = 395,742,638.89/9,098.06
  6. Step 6: Final answer
    x = 43,497.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.