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Finding the Third Proportional to 14,416 and 19,528

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Solution

The third proportional to 14,416 and 19,528 is: 26,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416 : 19,528 = 19,528 : x
  2. Step 2: Convert to fraction form
    14,416/19,528 = 19,528/x
  3. Step 3: Cross multiply
    14,416x = 19,528 × 19,528
  4. Step 4: Simplify right side
    14,416x = 381,342,784
  5. Step 5: Solve for x
    x = 381,342,784/14,416
  6. Step 6: Final answer
    x = 26,452.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.