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Finding the Third Proportional to 15,707 and 24,289.50

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Solution

The third proportional to 15,707 and 24,289.50 is: 37,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707 : 24,289.50 = 24,289.50 : x
  2. Step 2: Convert to fraction form
    15,707/24,289.50 = 24,289.50/x
  3. Step 3: Cross multiply
    15,707x = 24,289.50 × 24,289.50
  4. Step 4: Simplify right side
    15,707x = 589,979,810.25
  5. Step 5: Solve for x
    x = 589,979,810.25/15,707
  6. Step 6: Final answer
    x = 37,561.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.