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Finding the Third Proportional to 15,312 and 22,951.50

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Solution

The third proportional to 15,312 and 22,951.50 is: 34,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312 : 22,951.50 = 22,951.50 : x
  2. Step 2: Convert to fraction form
    15,312/22,951.50 = 22,951.50/x
  3. Step 3: Cross multiply
    15,312x = 22,951.50 × 22,951.50
  4. Step 4: Simplify right side
    15,312x = 526,771,352.25
  5. Step 5: Solve for x
    x = 526,771,352.25/15,312
  6. Step 6: Final answer
    x = 34,402.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.