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Finding the Third Proportional to 7,164 and 14,528

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Solution

The third proportional to 7,164 and 14,528 is: 29,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164 : 14,528 = 14,528 : x
  2. Step 2: Convert to fraction form
    7,164/14,528 = 14,528/x
  3. Step 3: Cross multiply
    7,164x = 14,528 × 14,528
  4. Step 4: Simplify right side
    7,164x = 211,062,784
  5. Step 5: Solve for x
    x = 211,062,784/7,164
  6. Step 6: Final answer
    x = 29,461.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.