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Finding the Third Proportional to 24,532 and 32,430

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Solution

The third proportional to 24,532 and 32,430 is: 42,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532 : 32,430 = 32,430 : x
  2. Step 2: Convert to fraction form
    24,532/32,430 = 32,430/x
  3. Step 3: Cross multiply
    24,532x = 32,430 × 32,430
  4. Step 4: Simplify right side
    24,532x = 1,051,704,900
  5. Step 5: Solve for x
    x = 1,051,704,900/24,532
  6. Step 6: Final answer
    x = 42,870.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.