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Finding the Third Proportional to 10,233 and 19,985.06

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Solution

The third proportional to 10,233 and 19,985.06 is: 39,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233 : 19,985.06 = 19,985.06 : x
  2. Step 2: Convert to fraction form
    10,233/19,985.06 = 19,985.06/x
  3. Step 3: Cross multiply
    10,233x = 19,985.06 × 19,985.06
  4. Step 4: Simplify right side
    10,233x = 399,402,723.13
  5. Step 5: Solve for x
    x = 399,402,723.13/10,233
  6. Step 6: Final answer
    x = 39,030.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.