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Finding the Third Proportional to 19,103 and 24,962.25

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Solution

The third proportional to 19,103 and 24,962.25 is: 32,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,103 : 24,962.25 = 24,962.25 : x
  2. Step 2: Convert to fraction form
    19,103/24,962.25 = 24,962.25/x
  3. Step 3: Cross multiply
    19,103x = 24,962.25 × 24,962.25
  4. Step 4: Simplify right side
    19,103x = 623,113,925.06
  5. Step 5: Solve for x
    x = 623,113,925.06/19,103
  6. Step 6: Final answer
    x = 32,618.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.