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Finding the Third Proportional to 15,854.06 and 24,377.20

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Solution

The third proportional to 15,854.06 and 24,377.20 is: 37,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.06 : 24,377.20 = 24,377.20 : x
  2. Step 2: Convert to fraction form
    15,854.06/24,377.20 = 24,377.20/x
  3. Step 3: Cross multiply
    15,854.06x = 24,377.20 × 24,377.20
  4. Step 4: Simplify right side
    15,854.06x = 594,248,032.20
  5. Step 5: Solve for x
    x = 594,248,032.20/15,854.06
  6. Step 6: Final answer
    x = 37,482.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.