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Finding the Third Proportional to 15,390.16 and 24,430.75

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Solution

The third proportional to 15,390.16 and 24,430.75 is: 38,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,390.16 : 24,430.75 = 24,430.75 : x
  2. Step 2: Convert to fraction form
    15,390.16/24,430.75 = 24,430.75/x
  3. Step 3: Cross multiply
    15,390.16x = 24,430.75 × 24,430.75
  4. Step 4: Simplify right side
    15,390.16x = 596,861,784.14
  5. Step 5: Solve for x
    x = 596,861,784.14/15,390.16
  6. Step 6: Final answer
    x = 38,782.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.