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Finding the Third Proportional to 32,681.25 and 50,490

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Solution

The third proportional to 32,681.25 and 50,490 is: 78,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681.25 : 50,490 = 50,490 : x
  2. Step 2: Convert to fraction form
    32,681.25/50,490 = 50,490/x
  3. Step 3: Cross multiply
    32,681.25x = 50,490 × 50,490
  4. Step 4: Simplify right side
    32,681.25x = 2,549,240,100
  5. Step 5: Solve for x
    x = 2,549,240,100/32,681.25
  6. Step 6: Final answer
    x = 78,003.14

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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.