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Finding the Third Proportional to 15,090 and 24,147.75

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Solution

The third proportional to 15,090 and 24,147.75 is: 38,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090 : 24,147.75 = 24,147.75 : x
  2. Step 2: Convert to fraction form
    15,090/24,147.75 = 24,147.75/x
  3. Step 3: Cross multiply
    15,090x = 24,147.75 × 24,147.75
  4. Step 4: Simplify right side
    15,090x = 583,113,830.06
  5. Step 5: Solve for x
    x = 583,113,830.06/15,090
  6. Step 6: Final answer
    x = 38,642.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.