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Finding the Third Proportional to 42,977.63 and 64,547.63

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Solution

The third proportional to 42,977.63 and 64,547.63 is: 96,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,977.63 : 64,547.63 = 64,547.63 : x
  2. Step 2: Convert to fraction form
    42,977.63/64,547.63 = 64,547.63/x
  3. Step 3: Cross multiply
    42,977.63x = 64,547.63 × 64,547.63
  4. Step 4: Simplify right side
    42,977.63x = 4,166,395,893.14
  5. Step 5: Solve for x
    x = 4,166,395,893.14/42,977.63
  6. Step 6: Final answer
    x = 96,943.37

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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.