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Finding the Third Proportional to 24,860.25 and 38,407.50

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Solution

The third proportional to 24,860.25 and 38,407.50 is: 59,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,860.25 : 38,407.50 = 38,407.50 : x
  2. Step 2: Convert to fraction form
    24,860.25/38,407.50 = 38,407.50/x
  3. Step 3: Cross multiply
    24,860.25x = 38,407.50 × 38,407.50
  4. Step 4: Simplify right side
    24,860.25x = 1,475,136,056.25
  5. Step 5: Solve for x
    x = 1,475,136,056.25/24,860.25
  6. Step 6: Final answer
    x = 59,337.14

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