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Finding the Third Proportional to 15,349.50 and 24,386.06

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Solution

The third proportional to 15,349.50 and 24,386.06 is: 38,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349.50 : 24,386.06 = 24,386.06 : x
  2. Step 2: Convert to fraction form
    15,349.50/24,386.06 = 24,386.06/x
  3. Step 3: Cross multiply
    15,349.50x = 24,386.06 × 24,386.06
  4. Step 4: Simplify right side
    15,349.50x = 594,680,044.25
  5. Step 5: Solve for x
    x = 594,680,044.25/15,349.50
  6. Step 6: Final answer
    x = 38,742.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.