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Finding the Third Proportional to 42,783.19 and 45,775.13

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Solution

The third proportional to 42,783.19 and 45,775.13 is: 48,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,783.19 : 45,775.13 = 45,775.13 : x
  2. Step 2: Convert to fraction form
    42,783.19/45,775.13 = 45,775.13/x
  3. Step 3: Cross multiply
    42,783.19x = 45,775.13 × 45,775.13
  4. Step 4: Simplify right side
    42,783.19x = 2,095,362,068.77
  5. Step 5: Solve for x
    x = 2,095,362,068.77/42,783.19
  6. Step 6: Final answer
    x = 48,976.30

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.