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Finding the Third Proportional to 15,348 and 24,046

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Solution

The third proportional to 15,348 and 24,046 is: 37,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,348 : 24,046 = 24,046 : x
  2. Step 2: Convert to fraction form
    15,348/24,046 = 24,046/x
  3. Step 3: Cross multiply
    15,348x = 24,046 × 24,046
  4. Step 4: Simplify right side
    15,348x = 578,210,116
  5. Step 5: Solve for x
    x = 578,210,116/15,348
  6. Step 6: Final answer
    x = 37,673.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.