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Finding the Third Proportional to 10,999.13 and 24,040.13

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Solution

The third proportional to 10,999.13 and 24,040.13 is: 52,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.13 : 24,040.13 = 24,040.13 : x
  2. Step 2: Convert to fraction form
    10,999.13/24,040.13 = 24,040.13/x
  3. Step 3: Cross multiply
    10,999.13x = 24,040.13 × 24,040.13
  4. Step 4: Simplify right side
    10,999.13x = 577,927,610.02
  5. Step 5: Solve for x
    x = 577,927,610.02/10,999.13
  6. Step 6: Final answer
    x = 52,543.05

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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.