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Finding the Third Proportional to 24,820 and 53,528

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Solution

The third proportional to 24,820 and 53,528 is: 115,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820 : 53,528 = 53,528 : x
  2. Step 2: Convert to fraction form
    24,820/53,528 = 53,528/x
  3. Step 3: Cross multiply
    24,820x = 53,528 × 53,528
  4. Step 4: Simplify right side
    24,820x = 2,865,246,784
  5. Step 5: Solve for x
    x = 2,865,246,784/24,820
  6. Step 6: Final answer
    x = 115,441.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.