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Finding the Third Proportional to 11,407.50 and 15,259.13

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Solution

The third proportional to 11,407.50 and 15,259.13 is: 20,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.50 : 15,259.13 = 15,259.13 : x
  2. Step 2: Convert to fraction form
    11,407.50/15,259.13 = 15,259.13/x
  3. Step 3: Cross multiply
    11,407.50x = 15,259.13 × 15,259.13
  4. Step 4: Simplify right side
    11,407.50x = 232,840,895.77
  5. Step 5: Solve for x
    x = 232,840,895.77/11,407.50
  6. Step 6: Final answer
    x = 20,411.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.