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Finding the Third Proportional to 7,852 and 14,528

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Solution

The third proportional to 7,852 and 14,528 is: 26,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852 : 14,528 = 14,528 : x
  2. Step 2: Convert to fraction form
    7,852/14,528 = 14,528/x
  3. Step 3: Cross multiply
    7,852x = 14,528 × 14,528
  4. Step 4: Simplify right side
    7,852x = 211,062,784
  5. Step 5: Solve for x
    x = 211,062,784/7,852
  6. Step 6: Final answer
    x = 26,880.13

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.