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Finding the Third Proportional to 32,507 and 48,547

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Solution

The third proportional to 32,507 and 48,547 is: 72,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507 : 48,547 = 48,547 : x
  2. Step 2: Convert to fraction form
    32,507/48,547 = 48,547/x
  3. Step 3: Cross multiply
    32,507x = 48,547 × 48,547
  4. Step 4: Simplify right side
    32,507x = 2,356,811,209
  5. Step 5: Solve for x
    x = 2,356,811,209/32,507
  6. Step 6: Final answer
    x = 72,501.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.