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Finding the Third Proportional to 10,653.19 and 15,980.06

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Solution

The third proportional to 10,653.19 and 15,980.06 is: 23,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.19 : 15,980.06 = 15,980.06 : x
  2. Step 2: Convert to fraction form
    10,653.19/15,980.06 = 15,980.06/x
  3. Step 3: Cross multiply
    10,653.19x = 15,980.06 × 15,980.06
  4. Step 4: Simplify right side
    10,653.19x = 255,362,397.50
  5. Step 5: Solve for x
    x = 255,362,397.50/10,653.19
  6. Step 6: Final answer
    x = 23,970.52

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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.