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Finding the Third Proportional to 10,783.13 and 15,775.88

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Solution

The third proportional to 10,783.13 and 15,775.88 is: 23,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 15,775.88 = 15,775.88 : x
  2. Step 2: Convert to fraction form
    10,783.13/15,775.88 = 15,775.88/x
  3. Step 3: Cross multiply
    10,783.13x = 15,775.88 × 15,775.88
  4. Step 4: Simplify right side
    10,783.13x = 248,878,232.02
  5. Step 5: Solve for x
    x = 248,878,232.02/10,783.13
  6. Step 6: Final answer
    x = 23,080.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.