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Finding the Third Proportional to 10,023 and 17,109.75

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Solution

The third proportional to 10,023 and 17,109.75 is: 29,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023 : 17,109.75 = 17,109.75 : x
  2. Step 2: Convert to fraction form
    10,023/17,109.75 = 17,109.75/x
  3. Step 3: Cross multiply
    10,023x = 17,109.75 × 17,109.75
  4. Step 4: Simplify right side
    10,023x = 292,743,545.06
  5. Step 5: Solve for x
    x = 292,743,545.06/10,023
  6. Step 6: Final answer
    x = 29,207.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.