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Finding the Third Proportional to 15,633 and 23,530.50

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Solution

The third proportional to 15,633 and 23,530.50 is: 35,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633 : 23,530.50 = 23,530.50 : x
  2. Step 2: Convert to fraction form
    15,633/23,530.50 = 23,530.50/x
  3. Step 3: Cross multiply
    15,633x = 23,530.50 × 23,530.50
  4. Step 4: Simplify right side
    15,633x = 553,684,430.25
  5. Step 5: Solve for x
    x = 553,684,430.25/15,633
  6. Step 6: Final answer
    x = 35,417.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.