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Finding the Third Proportional to 15,133 and 26,648.50

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Solution

The third proportional to 15,133 and 26,648.50 is: 46,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133 : 26,648.50 = 26,648.50 : x
  2. Step 2: Convert to fraction form
    15,133/26,648.50 = 26,648.50/x
  3. Step 3: Cross multiply
    15,133x = 26,648.50 × 26,648.50
  4. Step 4: Simplify right side
    15,133x = 710,142,552.25
  5. Step 5: Solve for x
    x = 710,142,552.25/15,133
  6. Step 6: Final answer
    x = 46,926.75

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.