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Finding the Third Proportional to 19,237.50 and 29,549.81

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Solution

The third proportional to 19,237.50 and 29,549.81 is: 45,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,237.50 : 29,549.81 = 29,549.81 : x
  2. Step 2: Convert to fraction form
    19,237.50/29,549.81 = 29,549.81/x
  3. Step 3: Cross multiply
    19,237.50x = 29,549.81 × 29,549.81
  4. Step 4: Simplify right side
    19,237.50x = 873,191,418.79
  5. Step 5: Solve for x
    x = 873,191,418.79/19,237.50
  6. Step 6: Final answer
    x = 45,390.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.