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Finding the Third Proportional to 9,526.50 and 19,053

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Solution

The third proportional to 9,526.50 and 19,053 is: 38,106

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.50 : 19,053 = 19,053 : x
  2. Step 2: Convert to fraction form
    9,526.50/19,053 = 19,053/x
  3. Step 3: Cross multiply
    9,526.50x = 19,053 × 19,053
  4. Step 4: Simplify right side
    9,526.50x = 363,016,809
  5. Step 5: Solve for x
    x = 363,016,809/9,526.50
  6. Step 6: Final answer
    x = 38,106

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.