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Finding the Third Proportional to 24,348 and 53,070

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Solution

The third proportional to 24,348 and 53,070 is: 115,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348 : 53,070 = 53,070 : x
  2. Step 2: Convert to fraction form
    24,348/53,070 = 53,070/x
  3. Step 3: Cross multiply
    24,348x = 53,070 × 53,070
  4. Step 4: Simplify right side
    24,348x = 2,816,424,900
  5. Step 5: Solve for x
    x = 2,816,424,900/24,348
  6. Step 6: Final answer
    x = 115,673.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.