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Finding the Third Proportional to 15,465 and 24,005.25

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Solution

The third proportional to 15,465 and 24,005.25 is: 37,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 24,005.25 = 24,005.25 : x
  2. Step 2: Convert to fraction form
    15,465/24,005.25 = 24,005.25/x
  3. Step 3: Cross multiply
    15,465x = 24,005.25 × 24,005.25
  4. Step 4: Simplify right side
    15,465x = 576,252,027.56
  5. Step 5: Solve for x
    x = 576,252,027.56/15,465
  6. Step 6: Final answer
    x = 37,261.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.